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2006 AMC 12A Problem 3

Problem 3 of 25EasierAlgebra

The ratio of Mary’s age to Alice’s age is 3:5.3 : 5. Alice is 3030 years old. How old is Mary?

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Solution

Mary’s age is 35\tfrac{3}{5} of Alice’s, so Mary is 35⋅30=18\tfrac{3}{5}\cdot 30 = 18 years old. Thus, the correct answer is B.

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Concepts: ratio and proportion · ages

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.