2017 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 2 Easy

Pablo buys popsicles for his friends. The store sells single popsicles for $1 each, 3-popsicle boxes for $2 each, and 5-popsicle boxes for $3. What is the greatest number of popsicles that Pablo can buy with $8? (2017 AMC 10A Problem, Question#2)

  • A.

    8

  • B.

    11

  • C.

    12

  • D.

    13

  • E.

    15

Answer:D

3 boxes give us the most popsicles/dollar, so we want to buy as many of those as possible. After buying 2, we have $2 left. We cannot buy a third $3 box, so we opt for the $2 box instead (since it has a higher popsicles/dollar ratio than the $1 pack). We're now out of money. We bought 5+ 5+3 = 13 popsicles, so the answer is (\rm D) 13.