2007 AMC 12B Problem 4

Attempt Problem 4 of the 2007 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 2007 AMC 12B solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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
Answer: B
Concepts:ratio and proportionunit conversion
Small hint:
First convert 1818 bananas into an equivalent number of apples
Big hint:
Then convert those apples into oranges using 66 apples =4=4 oranges
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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