2006 AMC 10A Problem 3

Below is the professionally curated solution for Problem 3 of the 2006 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 10A solutions, or check the answer key.

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Concepts:ratio and proportionages

Difficulty rating: 560

3.

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

1515

1818

2020

2424

5050

Solution:

Since the ratio is 3:53 : 5 and Alice is 30,30, Mary is 3530=18\dfrac{3}{5} \cdot 30 = 18 years old.

Thus, the correct answer is B.

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