2007 AMC 12B Problem 4

Below is the professionally curated solution for Problem 4 of the 2007 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12B solutions, or check the answer key.

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Concepts:ratio and proportionunit conversion

Difficulty rating: 1010

4.

At Frank's Fruit Market, 33 bananas cost as much as 22 apples, and 66 apples cost as much as 44 oranges. How many oranges cost as much as 1818 bananas?

66

88

99

1212

1818

Solution:

Since 33 bananas cost as much as 22 apples, 1818 bananas cost as much as 1212 apples.

Since 66 apples cost as much as 44 oranges, 1212 apples cost as much as 88 oranges. Therefore 1818 bananas cost as much as 88 oranges.

Thus, the correct answer is B.

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