2006 AMC 10A Problem 3 — Solution | LIVE by Po-Shen Loh

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2006 AMC 10A Problem 3

Attempt Problem 3 of the 2006 AMC 10A 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 2006 AMC 10A solutions, or check the answer key.

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

3.

The ratio of Mary's age to Alice's age is $3 : 5.$ Alice is $30$ years old. How many years old is Mary?

$15$

$18$

$20$

$24$

$50$

Answer: B

Concepts:ratio and proportion ages

Difficulty rating: 560

Solution:

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

Thus, the correct answer is B.

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Problem 3 in Other Years

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