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Question 1:
The biggest cabbage from Michael's garden is 6 6/8 pounds, which is 1 1/11 pound more than the average weight of cabbages from his garden. What is the average weight of cabbages from his garden?
Question 2:
Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. The number of small baskets used will be between which two whole numbers? Give your answer in fractions.
Question 3:
According to a recipe, 342 grams of sugar is needed to make 18 cupcakes. Between which two whole numbers does the weight of sugar used for each cupcake lie?
Question 4:
There are 6 muffins in a basket. A group of five people is sharing the muffins equally. How many muffins does each person get? Give your answer in fractions.
Question 5:
The biggest onion from Marianne's farm is 2 5/8 pounds, which is 1 1/12 pound more than the average weight of onions from her farm. What is the average weight of onions from her farm?
Question 6:
Eugenia needs 1/2 kilograms of flour and 5/7 of a box of butter to make a loaf of bread. How many loaves of bread can she make if she has 30 kilograms of flour? Give answer in fraction or whole number.
Question 7:
According to a recipe, 318 grams of sugar is needed to make 15 cupcakes. Between which two whole numbers does the weight of sugar used for each cupcake lie?
Question 8:
The apple are harvested three times a day. During the morning harvest, 4/25 of a box of apples is harvested. During the afternoon harvest, the weight of apples harvested will be 2/25 of a box more than the apples harvested during the morning. If the total weight of apples harvested in a day is 1/3 of a box, how much is harvested during the harvest at night?
Question 9:
Each wooden toy is 2/3 kg and each plastic toy is 4/9 kg. What is the total weight of 2 wooden toys and 1 plastic toy?
Question 10:
A bumblebee weighed 7/9 kilograms. After one week, its weight was increased by 5/7 kilograms. But afterwards, it lost 3/8 kilograms in weight as it was sick. What is its current weight?
Question 11:
A butterfly weighed 2/3 kilograms. After four weeks, its weight was increased by 6/9 kilograms. But afterwards, it lost 2/7 kilograms in weight as it was sick. What is its current weight?
Question 12:
A chef is baking scones. She has 24 pounds of dough. Each scone is made from 1/6 pounds of dough. How many scones can she make?
Question 13:
A baker is preparing cupcakes. She has 12 pounds of dough. Each cupcake is made from 1/12 pounds of dough. How many cupcakes can she make?
Question 14:
Each garden vegetable is 8/10 kg and each piece of fruit is 5/7 kg. What is the total weight of 2 garden vegetables and 1 piece of fruit?
Question 15:
John harvested 584 oranges which will be placed into small baskets. Each small basket can hold 32 oranges. The number of small baskets used will be between which two whole numbers?
Question 16:
5 ounces of cheese are required for topping each pizza. How many pizzas can be topped with 15 ounces of cheese?
Question 17:
Eugenia needs 1/2 kilograms of flour and 5/7 of a box of butter to make a loaf of bread. How many loaves of bread can she make if she has 30 kilograms of flour? Give answer in fraction or whole number.
Question 18:
It takes 10 tons of cement to pave 70 meters of road. How much of a road can be paved by using one ton of cement? Give your answer in fractions if possible.
Question 19:
There are 14 cans, every one storing 9 chips. What is the total number of chips? If 1/3 of the chips are plain-flavored, how many plain-flavored chips are there? Give answer in fraction or whole number.
Question 20:
Amanda took out 3 pieces of tile and got some cement from the bucket. Each piece of tile needs 2 2/3 kg of the cement mixture. If there was enough cement mixture for 2 pieces of tile, how much did the cement in the bucket weigh?
Question 2: 17 < x < 18
Question 3: 19 and 20
Question 4: 6/5
Question 5: 1 13/24
Question 6: 60
Question 7: 21 and 22
Question 8: 1/60
Question 9: 16/9
Question 10: 563/504
Question 11: 1 1/21
Question 12: 144
Question 13: 144
Question 14: 81/35
Question 15: between 18 and 19
Question 16: 3
Question 17: 60
Question 18: 7 meters per ton
Question 19: 42
Question 20: 5 1/3 kg
The biggest cabbage from Michael's garden is 6 6/8 pounds, which is 1 1/11 pound more than the average weight of cabbages from his garden. To find the average weight of the cabbages, we need to subtract 1 1/11 from 6 6/8. First, simplify the mixed number: 6 6/8 = 6 3/4. Next, convert the mixed numbers to improper fractions: 6 3/4 = (6 * 4 + 3) / 4 = 27/4, and 1 1/11 = (1 * 11 + 1) / 11 = 12/11. Now, subtract the two fractions: 27/4 - 12/11. Find a common denominator, which is the least common multiple of 4 and 11, which is 44. Now, convert the fractions to have the same denominator: 27/4 * 11/11 = 297/44, and 12/11 * 4/4 = 48/44. Now subtract the numerators: 297 - 48 = 249. So, the difference is 249/44. Finally, convert the improper fraction back to a mixed number: 249/44 = 5 29/44. So, the average weight of cabbages from his garden is 5 29/44 pounds.
Question 2
Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. To find the number of small baskets needed, divide the total number of oranges by the number of oranges per basket: 432 / 25 = 17 7/25. Therefore, the number of small baskets used will be between 17 and 18.
Question 3
To find the weight of sugar used for each cupcake, we need to divide 342 grams by 18 cupcakes. 342/18 equals 19. So the weight of sugar used for each cupcake lies between 19 and 20.
Question 4
To find out how many muffins each person gets, we need to divide the total number of muffins (6) by the number of people (5). 6/5 cannot be simplified any further, so each person gets 6/5 of a muffin.
Question 5
Step 1: Convert mixed numbers to improper fractions: 2 5/8 = (2 x 8 + 5)/8 = 21/8 and 1 1/12 = (1 x 12 + 1)/12 = 13/12. Step 2: Subtract the fractions: 21/8 - 13/12 = (21 x 3)/(8 x 3) - (13 x 2)/(12 x 2) = 63/24 - 26/24 = 37/24. Step 3: Convert the result to a mixed number: 37/24 = 1 13/24. Therefore, the average weight of onions from Marianne's farm is 1 13/24 pounds.
Question 6
In order to find out how many loaves Eugenia can make, we need to find the amount of butter that she needs to make each loaf. To do this, we can use the ingredient fractions given in the problem. Eugenia needs 5/7 of a box of butter for 1 loaf of bread, so she needs (5/7) * 30 = 150/7 kilograms of butter for 30 kilograms of flour. Now, we can find out the number of loaves of bread Eugenia can make by dividing the amount of flour she has by the amount of flour needed per loaf, which is 1/2 kilogram. Therefore, Eugenia can make (30)/(1/2) = 60 loaves of bread. Hence the answer is 60.
Question 7
To find the weight of sugar used for each cupcake, we need to divide the total weight of sugar by the number of cupcakes. So, the weight of sugar used for each cupcake is 318/15, which is a number between 21 and 22.
Question 8
Evening feed is 1/3 - 4/25 - (4/25 + 2/25) = 1/60
Question 9
To find total weight of 2 wooden toys and 1 plastic toy, we need to add the weights of each toy. The total weight of 2 wooden toys is (2/3)*2 = 4/3 kg. The weight of 1 plastic toy is 4/9 kg. Therefore, the total weight is 4/3 + 4/9 = (12/9) + (4/9) = 16/9 kg.
Question 10
Step 1: Add the initial weight and the weight gained: 7/9 + 5/7 = (7*7 + 9*5)/(9*7) = (49 + 45)/63 = 94/63. Step 2: Subtract the weight lost: 94/63 - 3/8 = (94*8 - 63*3)/(63*8) = (752 - 189)/504 = 563/504. Step 3: The bumblebee's current weight is 563/504 kilograms.
Question 11
Add the weight gained and then subtract the weight lost: 2/3 + 6/9 - 2/7 = 14/21 + 14/21 - 6/21 = 28/21 - 6/21 = 22/21 = 1 1/21
Question 12
To find the number of scones the chef can make, we need to divide the amount of dough by the amount of dough used for each scone. Therefore, the equation is: 24 / (1/6) = 24 x 6 = 144. The chef can make 144 scones.
Question 13
She can make 144 cupcakes.
Question 14
Step 1: Find the total weight of 2 garden vegetables (2 x 8/10 kg). Step 2: Simplify the fraction (2 x 4/5 kg). Step 3: Multiply the numerators together (2 x 4 = 8). Step 4: The total weight of 2 garden vegetables is 8/5 kg. Step 5: Add the total weight of 2 garden vegetables (8/5 kg) and 1 piece of fruit (5/7 kg) together. Step 6: Find a common denominator for the fractions (35). Step 7: Convert both fractions to equivalent fractions with the common denominator (56/35 + 25/35). Step 8: Add the numerators together (56 + 25 = 81). Step 9: The total weight of 2 garden vegetables and 1 piece of fruit is 81/35 kg.
Question 15
John harvested 584 oranges which will be placed into small baskets. Each small basket can hold 32 oranges. To find the number of small baskets needed, divide the total number of oranges by the number of oranges per basket: 584 / 32 = 18 ^8/32 = 18 ^1/4. Therefore, the number of small baskets used will be between 18 and 19.
Question 16
Number of pizzas = 15 / 5 = 3.
Question 17
In order to find out how many loaves Eugenia can make, we need to find the amount of butter that she needs to make each loaf. To do this, we can use the ingredient fractions given in the problem. Eugenia needs 5/7 of a box of butter for 1 loaf of bread, so she needs (5/7) * 30 = 150/7 kilograms of butter for 30 kilograms of flour. Now, we can find out the number of loaves of bread Eugenia can make by dividing the amount of flour she has by the amount of flour needed per loaf, which is 1/2 kilogram. Therefore, Eugenia can make (30)/(1/2) = 60 loaves of bread. Hence the answer is 60.
Question 18
To find the amount of road that can be paved with one ton of cement, we need to divide 70 by 10. This gives us 7. So, one ton of cement can pave 7 meters of road. Therefore, the answer in fractions is 7/1.
Question 19
To find the total number of chips, we can multiply the number of cans (14) by the number of chips in each can (9): 14 x 9 = 126. To find the number of plain-flavored chips, we can multiply the total number of chips (126) by the fraction of plain-flavored chips (1/3): 126 x 1/3 = 42. Therefore, there are 126 chips in total and 42 are plain-flavored.
Question 20
Each piece of tile needs 2 2/3 kg of the cement mixture, so for 2 pieces, she needs 2 * 2 2/3 = 5 1/3 kg. If there was enough cement mixture for 2 pieces of tile, then the weight of the cement in the bucket is 5 1/3 kg.
The biggest cabbage from Michael's garden is 6 6/8 pounds, which is 1 1/11 pound more than the average weight of cabbages from his garden. What is the average weight of cabbages from his garden?
Question 2:
Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. The number of small baskets used will be between which two whole numbers? Give your answer in fractions.
Question 3:
According to a recipe, 342 grams of sugar is needed to make 18 cupcakes. Between which two whole numbers does the weight of sugar used for each cupcake lie?
Question 4:
There are 6 muffins in a basket. A group of five people is sharing the muffins equally. How many muffins does each person get? Give your answer in fractions.
Question 5:
The biggest onion from Marianne's farm is 2 5/8 pounds, which is 1 1/12 pound more than the average weight of onions from her farm. What is the average weight of onions from her farm?
Question 6:
Eugenia needs 1/2 kilograms of flour and 5/7 of a box of butter to make a loaf of bread. How many loaves of bread can she make if she has 30 kilograms of flour? Give answer in fraction or whole number.
Question 7:
According to a recipe, 318 grams of sugar is needed to make 15 cupcakes. Between which two whole numbers does the weight of sugar used for each cupcake lie?
Question 8:
The apple are harvested three times a day. During the morning harvest, 4/25 of a box of apples is harvested. During the afternoon harvest, the weight of apples harvested will be 2/25 of a box more than the apples harvested during the morning. If the total weight of apples harvested in a day is 1/3 of a box, how much is harvested during the harvest at night?
Question 9:
Each wooden toy is 2/3 kg and each plastic toy is 4/9 kg. What is the total weight of 2 wooden toys and 1 plastic toy?
Question 10:
A bumblebee weighed 7/9 kilograms. After one week, its weight was increased by 5/7 kilograms. But afterwards, it lost 3/8 kilograms in weight as it was sick. What is its current weight?
Question 11:
A butterfly weighed 2/3 kilograms. After four weeks, its weight was increased by 6/9 kilograms. But afterwards, it lost 2/7 kilograms in weight as it was sick. What is its current weight?
Question 12:
A chef is baking scones. She has 24 pounds of dough. Each scone is made from 1/6 pounds of dough. How many scones can she make?
Question 13:
A baker is preparing cupcakes. She has 12 pounds of dough. Each cupcake is made from 1/12 pounds of dough. How many cupcakes can she make?
Question 14:
Each garden vegetable is 8/10 kg and each piece of fruit is 5/7 kg. What is the total weight of 2 garden vegetables and 1 piece of fruit?
Question 15:
John harvested 584 oranges which will be placed into small baskets. Each small basket can hold 32 oranges. The number of small baskets used will be between which two whole numbers?
Question 16:
5 ounces of cheese are required for topping each pizza. How many pizzas can be topped with 15 ounces of cheese?
Question 17:
Eugenia needs 1/2 kilograms of flour and 5/7 of a box of butter to make a loaf of bread. How many loaves of bread can she make if she has 30 kilograms of flour? Give answer in fraction or whole number.
Question 18:
It takes 10 tons of cement to pave 70 meters of road. How much of a road can be paved by using one ton of cement? Give your answer in fractions if possible.
Question 19:
There are 14 cans, every one storing 9 chips. What is the total number of chips? If 1/3 of the chips are plain-flavored, how many plain-flavored chips are there? Give answer in fraction or whole number.
Question 20:
Amanda took out 3 pieces of tile and got some cement from the bucket. Each piece of tile needs 2 2/3 kg of the cement mixture. If there was enough cement mixture for 2 pieces of tile, how much did the cement in the bucket weigh?
Answer Keys
Question 1: 5 29/44Question 2: 17 < x < 18
Question 3: 19 and 20
Question 4: 6/5
Question 5: 1 13/24
Question 6: 60
Question 7: 21 and 22
Question 8: 1/60
Question 9: 16/9
Question 10: 563/504
Question 11: 1 1/21
Question 12: 144
Question 13: 144
Question 14: 81/35
Question 15: between 18 and 19
Question 16: 3
Question 17: 60
Question 18: 7 meters per ton
Question 19: 42
Question 20: 5 1/3 kg
Solutions
Question 1The biggest cabbage from Michael's garden is 6 6/8 pounds, which is 1 1/11 pound more than the average weight of cabbages from his garden. To find the average weight of the cabbages, we need to subtract 1 1/11 from 6 6/8. First, simplify the mixed number: 6 6/8 = 6 3/4. Next, convert the mixed numbers to improper fractions: 6 3/4 = (6 * 4 + 3) / 4 = 27/4, and 1 1/11 = (1 * 11 + 1) / 11 = 12/11. Now, subtract the two fractions: 27/4 - 12/11. Find a common denominator, which is the least common multiple of 4 and 11, which is 44. Now, convert the fractions to have the same denominator: 27/4 * 11/11 = 297/44, and 12/11 * 4/4 = 48/44. Now subtract the numerators: 297 - 48 = 249. So, the difference is 249/44. Finally, convert the improper fraction back to a mixed number: 249/44 = 5 29/44. So, the average weight of cabbages from his garden is 5 29/44 pounds.
Question 2
Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. To find the number of small baskets needed, divide the total number of oranges by the number of oranges per basket: 432 / 25 = 17 7/25. Therefore, the number of small baskets used will be between 17 and 18.
Question 3
To find the weight of sugar used for each cupcake, we need to divide 342 grams by 18 cupcakes. 342/18 equals 19. So the weight of sugar used for each cupcake lies between 19 and 20.
Question 4
To find out how many muffins each person gets, we need to divide the total number of muffins (6) by the number of people (5). 6/5 cannot be simplified any further, so each person gets 6/5 of a muffin.
Question 5
Step 1: Convert mixed numbers to improper fractions: 2 5/8 = (2 x 8 + 5)/8 = 21/8 and 1 1/12 = (1 x 12 + 1)/12 = 13/12. Step 2: Subtract the fractions: 21/8 - 13/12 = (21 x 3)/(8 x 3) - (13 x 2)/(12 x 2) = 63/24 - 26/24 = 37/24. Step 3: Convert the result to a mixed number: 37/24 = 1 13/24. Therefore, the average weight of onions from Marianne's farm is 1 13/24 pounds.
Question 6
In order to find out how many loaves Eugenia can make, we need to find the amount of butter that she needs to make each loaf. To do this, we can use the ingredient fractions given in the problem. Eugenia needs 5/7 of a box of butter for 1 loaf of bread, so she needs (5/7) * 30 = 150/7 kilograms of butter for 30 kilograms of flour. Now, we can find out the number of loaves of bread Eugenia can make by dividing the amount of flour she has by the amount of flour needed per loaf, which is 1/2 kilogram. Therefore, Eugenia can make (30)/(1/2) = 60 loaves of bread. Hence the answer is 60.
Question 7
To find the weight of sugar used for each cupcake, we need to divide the total weight of sugar by the number of cupcakes. So, the weight of sugar used for each cupcake is 318/15, which is a number between 21 and 22.
Question 8
Evening feed is 1/3 - 4/25 - (4/25 + 2/25) = 1/60
Question 9
To find total weight of 2 wooden toys and 1 plastic toy, we need to add the weights of each toy. The total weight of 2 wooden toys is (2/3)*2 = 4/3 kg. The weight of 1 plastic toy is 4/9 kg. Therefore, the total weight is 4/3 + 4/9 = (12/9) + (4/9) = 16/9 kg.
Question 10
Step 1: Add the initial weight and the weight gained: 7/9 + 5/7 = (7*7 + 9*5)/(9*7) = (49 + 45)/63 = 94/63. Step 2: Subtract the weight lost: 94/63 - 3/8 = (94*8 - 63*3)/(63*8) = (752 - 189)/504 = 563/504. Step 3: The bumblebee's current weight is 563/504 kilograms.
Question 11
Add the weight gained and then subtract the weight lost: 2/3 + 6/9 - 2/7 = 14/21 + 14/21 - 6/21 = 28/21 - 6/21 = 22/21 = 1 1/21
Question 12
To find the number of scones the chef can make, we need to divide the amount of dough by the amount of dough used for each scone. Therefore, the equation is: 24 / (1/6) = 24 x 6 = 144. The chef can make 144 scones.
Question 13
She can make 144 cupcakes.
Question 14
Step 1: Find the total weight of 2 garden vegetables (2 x 8/10 kg). Step 2: Simplify the fraction (2 x 4/5 kg). Step 3: Multiply the numerators together (2 x 4 = 8). Step 4: The total weight of 2 garden vegetables is 8/5 kg. Step 5: Add the total weight of 2 garden vegetables (8/5 kg) and 1 piece of fruit (5/7 kg) together. Step 6: Find a common denominator for the fractions (35). Step 7: Convert both fractions to equivalent fractions with the common denominator (56/35 + 25/35). Step 8: Add the numerators together (56 + 25 = 81). Step 9: The total weight of 2 garden vegetables and 1 piece of fruit is 81/35 kg.
Question 15
John harvested 584 oranges which will be placed into small baskets. Each small basket can hold 32 oranges. To find the number of small baskets needed, divide the total number of oranges by the number of oranges per basket: 584 / 32 = 18 ^8/32 = 18 ^1/4. Therefore, the number of small baskets used will be between 18 and 19.
Question 16
Number of pizzas = 15 / 5 = 3.
Question 17
In order to find out how many loaves Eugenia can make, we need to find the amount of butter that she needs to make each loaf. To do this, we can use the ingredient fractions given in the problem. Eugenia needs 5/7 of a box of butter for 1 loaf of bread, so she needs (5/7) * 30 = 150/7 kilograms of butter for 30 kilograms of flour. Now, we can find out the number of loaves of bread Eugenia can make by dividing the amount of flour she has by the amount of flour needed per loaf, which is 1/2 kilogram. Therefore, Eugenia can make (30)/(1/2) = 60 loaves of bread. Hence the answer is 60.
Question 18
To find the amount of road that can be paved with one ton of cement, we need to divide 70 by 10. This gives us 7. So, one ton of cement can pave 7 meters of road. Therefore, the answer in fractions is 7/1.
Question 19
To find the total number of chips, we can multiply the number of cans (14) by the number of chips in each can (9): 14 x 9 = 126. To find the number of plain-flavored chips, we can multiply the total number of chips (126) by the fraction of plain-flavored chips (1/3): 126 x 1/3 = 42. Therefore, there are 126 chips in total and 42 are plain-flavored.
Question 20
Each piece of tile needs 2 2/3 kg of the cement mixture, so for 2 pieces, she needs 2 * 2 2/3 = 5 1/3 kg. If there was enough cement mixture for 2 pieces of tile, then the weight of the cement in the bucket is 5 1/3 kg.