2009 AMC 12B Problem 2

Attempt Problem 2 of the 2009 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2009 AMC 12B solutions, or check the answer key.

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2.

Paula the painter had just enough paint for 3030 identically sized rooms. Unfortunately, on the way to work, three cans of paint fell off her truck, so she had only enough paint for 2525 rooms. How many cans of paint did she use for the 2525 rooms?

1010

1212

1515

1818

2525

Answer: C
Concepts:ratio and proportion
Difficulty rating: 900
Solution:

Losing 33 cans cost her 55 rooms, so 33 cans paint 55 rooms and each room needs 35\dfrac{3}{5} of a can.

For 2525 rooms she used 2535=1525 \cdot \dfrac{3}{5} = 15 cans.

Thus, the correct answer is C.

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