Question

Orvin went to the store with just enough money to buy $30$ balloons. When he arrived, he discovered that the store had a special sale on balloons: buy $1$ balloon at the regular price and get a second at $\frac{1}{3}$ off the regular price. What is the greatest number of balloons Orvin could buy?

$33$

$34$

$36$

$38$

$39$

Answer: C

Concepts:ratio and proportion money pairing and grouping

Difficulty rating: 960

Solution:

Each pair of balloons costs $1+\frac23=\frac53$ times the regular price of one balloon.

Thus, with the money for $30$ regular-price balloons, Orvin can buy $30\cdot\frac65=36$ balloons.

Thus, the correct answer is C .

2014 AMC 10B Problem 6

Answer: C

Difficulty rating: 960

Solution:

Problem 6 in Other Years