2014 AMC 10B Problem 6

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?

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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 .