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Sample Question 5:
Step 1: Begin by purchasing the largest packs available, which are the 24-can packs. Buy three of these packs.
Step 2: Now, subtract from 90 the total number of cans you have, which is \(3 \times 24\). This leaves you with 18 cans that still need to be purchased.
Step 3: Buy one 12-can pack to cover some of the leftover amount. After this purchase, subtract the 12 cans from the remaining 18 to find that we still need 6 cans.
Step 4: To get these last 6 cans, purchase one 6-can pack.
Step 5: Count the total number of packs bought, which is \(3 + 1 + 1\), or 5 packs. This corresponds to answer choice \(\textbf{(B)}\).
Soda is sold in packs of 6, 12 and 24 cans. What is the minimum number of packs needed to buy exactly 90 cans of soda?
\(\textbf{(A)}\ 4\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 6\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 15\)
Answer Keys
Question 5: BSolutions
Question 5Step 1: Begin by purchasing the largest packs available, which are the 24-can packs. Buy three of these packs.
Step 2: Now, subtract from 90 the total number of cans you have, which is \(3 \times 24\). This leaves you with 18 cans that still need to be purchased.
Step 3: Buy one 12-can pack to cover some of the leftover amount. After this purchase, subtract the 12 cans from the remaining 18 to find that we still need 6 cans.
Step 4: To get these last 6 cans, purchase one 6-can pack.
Step 5: Count the total number of packs bought, which is \(3 + 1 + 1\), or 5 packs. This corresponds to answer choice \(\textbf{(B)}\).