2009 AMC 12B Problem 3

Attempt Problem 3 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.

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

Twenty percent less than

60

is one-third more than what number?

16

30

32

36

48

Twenty percent less than

60

0.8 \cdot 60

One-third more than a number

n

\dfrac{4}{3}n

Twenty percent less than

60

0.8 \cdot 60 = 48.

One-third more than

n

\dfrac{4}{3}n,

\dfrac{4}{3}n = 48

gives

n = 36.

Thus, the correct answer is D.

Problem 3 in other years