Question

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 $\$8?$

$8$

$11$

$12$

$13$

$15$

Answer: D

Concepts:money optimization

Difficulty rating: 770

Solution:

The $\$3$ boxes give us the most popsicles per dollar, so we want to buy as many of those as possible.

We can buy two of those, getting $5 \cdot 2 = 10$ popsicles with $\$8 - \$6 = \$2$ remaining.

The $\$1$ single popsicles are the worst deal, so Pablo should spend the rest of his money on the $3$ -popsicle box.

He then ends up with $10 + 3 = 13$ popsicles.

Thus, D is the correct answer.

2017 AMC 10A Problem 2

Answer: D

Difficulty rating: 770

Solution:

Problem 2 in Other Years