Question

Chase and his children went into a restaurant where they sell drinks for $2 each and tacos for $3.50 each. Chase has $50 to spend and must buy at least 16 drinks and tacos altogether. If Chase decided to buy 6 tacos, determine all possible values for the number of drinks that he could buy.

Answer 1

Let d be the number of drinks. With 6 tacos the constraints are
- total items: d + 6 ≥ 16 ⇒ d ≥ 10,
- cost: 2d + 3.5·6 ≤ 50 ⇒ 2d + 21 ≤ 50 ⇒ 2d ≤ 29 ⇒ d ≤ 14.5.

So d must be an integer with 10 ≤ d ≤ 14. Thus possible numbers of drinks are 10, 11, 12, 13, or 14.