Question 1:

If there are 2 1/2 pounds of flour and 3/4 stick of butter in the recipe, and Sarah buys another 1 3/4 pounds of flour, how much flour does she have in all?

Question 2:

Sara had 2 dolls and 14 stuffed animals in her toy box. At her Christmas party, she received 25 gifts. She received 5 dolls, 6 stuffed animals, and 7 board games. The remaining gifts are coloring books. 7/10 of the gifts are wrapped. 1/3 of the wrapped gifts are wrapped in yellow wrapping paper and 1/2 of them are wrapped with ribbons. What fraction of her stuffed animals are old?

Question 3:

Maggie drinks 1/3 of a carton of milk each day. How much milk does she drink in 6 days?

Question 4:

Jacob had 7 board games and 24 puzzle sets in his game closet. At his Christmas party, he received 30 gifts. He got 2 science kits, 6 board games and 10 puzzle sets. The rest of the gifts are storybooks. 5/6 of the gifts are wrapped. 2/3 of the wrapped gifts are wrapped in silver wrapping paper and 1/4 of them are wrapped with glitter. What fraction of the gifts are storybooks?

Question 5:

In a party of 60 people, there are two teams: Team Green and Team Blue. Team Green has 20 boys and 10 girls. Team Blue has 14 girls and 16 boys. What is the ratio of boys to girls in Team Blue?

Question 6:

Nathan had 5/8 of a pizza. He gave 3/8 of the pizza to his friend. How much pizza does Nathan have now?

Question 7:

If John spent 1 3/7 hours exercising, 2 4/7 hours cooking, and 1 5/7 hours cleaning on Thursday, how many hours did he spend doing his daily routine?

Question 8:

In a parking lot, there are 80 vehicles parked. There are 6 busses, 20 pickup trucks, 30 motorcycles, 15 vans, and the rest are sedans. Among the vehicles, 2/5 are red, while 1/4 are white. 1/5 of the vehicles are new. Are there more red vehicles or white vehicles?

Question 9:

Mrs. Johnson spent 1 3/4 hours baking cakes and 2 1/2 hours selling them at a bake sale. Later that day, she spent 2 1/4 hours decorating her house for Halloween. How much time did she spend on domestic tasks?

Question 10:

Ms. Johnson found 12 1/2 ounces of glue and 5 3/8 ounces of glitter in a drawer. She used 2 3/4 ounces of glue for an art project. How much glue did Ms. Johnson have left?

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Answer Keys

Question 1: 4 1/4 pounds of flour

Question 2: 14 / (14 + 6) = 14 / 20 = 7 / 10

Question 3: 2

Question 4: 12/30

Question 5: 16 boys to 14 girls, or 16:14, which simplifies to 8:7.

Question 6: Nathan has 1/4 of the pizza now.

Question 7: 5 1/7 hours

Question 8: More red vehicles

Question 9: She spent 6 1/2 hours on domestic tasks.

Question 10: 9 3/4 ounces of glue

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Solutions

Question 1
To solve this problem, we need to add the amount of flour Sarah already has with the amount she bought. First, we need to convert 2 1/2 pounds into an improper fraction by multiplying the whole number, 2, by the denominator, 2, and then adding the result to the numerator, 1. This gives us 5/2 pounds of flour. The fraction 3/4 stick of butter cannot be combined with pounds of flour, so we leave it as it is. Next, we add the amount of flour Sarah bought, which is 1 3/4 pounds, or 7/4 pounds, to the amount she already had. Adding the fractions, we get a total of 17/4 pounds, which is the same as 4 1/4 pounds of flour.

Question 2
There are a total of 2 + 14 + 5 + 6 + 7 = 34 gifts. The fraction of the wrapped gifts is 7 / 10, so the number of wrapped gifts is (7 / 10) x 34 = 23.8, which rounds up to 24. The fraction of yellow wrapped gifts is 1 / 3, so the number of yellow wrapped gifts is (1 / 3) x 24 = 8. The fraction of ribbon wrapped gifts is 1 / 2, so the number of ribbon wrapped gifts is (1 / 2) x 24 = 12. Therefore, the number of old stuffed animals is 14 - 6 = 8. The fraction of old stuffed animals is 8 / (8 + 6) = 8 / 14 = 4 / 7.

Question 3
To find out how much milk Maggie drinks in 6 days, we need to multiply her daily intake of milk (1/3) by the number of days (6). 1/3 * 6 = 2. Therefore, Maggie drinks 2 cartons of milk in 6 days.

Question 4
Jacob had a total of 7 + 24 = 31 games and puzzle sets before the party. He received 30 more gifts making the total number of gifts 31 + 30 = 61. The number of storybooks he received is 61 - (2 + 6 + 10) = 43. The fraction of the gifts that are storybooks is 43/61, which is already in simplified form and is not equal to the answer given (12/30). Therefore, the given answer is incorrect and no solution will be provided.

Question 5
The ratio of boys to girls in Team Green is 20:10, which simplifies to 2:1. The total number of boys in both teams is 20 + 16 = 36, and the total number of girls is 10 + 14 = 24. Therefore, the ratio of boys to girls in Team Blue is 16:14, or 8:7, since 16/8 = 2 and 14/7 = 2.

Question 6
To solve the problem, we need to subtract the fraction of pizza Nathan gave to his friend from the fraction of pizza he had originally. Therefore, 5/8 - 3/8 = 2/8 Simplifying 2/8 gives 1/4. Hence, Nathan has 1/4 of the pizza now.

Question 7
To add up these mixed numbers, we need to have a common denominator. The least common multiple of 7 and 7 is 7. So, we convert all the mixed numbers to improper fractions by multiplying the whole number by the denominator and adding the numerator. Then we add all the resulting fractions. 1 3/7 = (1 x 7 + 3)/7 = 10/7 2 4/7 = (2 x 7 + 4)/7 = 18/7 1 5/7 = (1 x 7 + 5)/7 = 12/7 Add: 10/7 + 18/7 + 12/7 = 40/7 = 5 5/7 hours. Therefore, John spent 5 5/7 hours doing his daily routine, not 5 1/7 hours.

Question 8
Out of the 80 vehicles, there are 2/5 x 80 = 32 red vehicles and 1/4 x 80 = 20 white vehicles. Since 32 > 20, there are more red vehicles than white vehicles.

Question 9
To find the total time Mrs. Johnson spent on domestic tasks, we need to add the time she spent baking cakes, selling them at the bake sale, and decorating her house for Halloween. 1 3/4 + 2 1/2 + 2 1/4 = (7/4 + 5/2 + 9/4) hours Common denominator of 4: = (7/4 + 10/4 + 9/4) hours = 26/4 hours or 6 1/2 hours.

Question 10
To find how much glue Ms. Johnson had left, we first need to add up the amounts of glue she found: 12 1/2 + 5 3/8 = 17 7/8. Then we need to subtract the amount of glue she used for the art project: 17 7/8 - 2 3/4 = 15 1/8. Therefore, Ms. Johnson had 9 3/4 ounces of glue left.