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AMC12 2006 A

AMC12 2006 A · Q3

AMC12 2006 A · Q3. It mainly tests Ratios & proportions.

The ratio of Mary's age to Alice's age is $3:5$. Alice is $30$ years old. How old is Mary?
Mary的年龄与Alice的年龄之比为$3:5$。Alice今年$30$岁。Mary今年多少岁?
(A) 15 15
(B) 18 18
(C) 20 20
(D) 24 24
(E) 50 50
Answer
Correct choice: (B)
正确答案:(B)
Solution
Let $m$ be Mary's age. Then $\frac{m}{30}=\frac{3}{5}$. Solving for $m$, we obtain $m=\boxed{\textbf{(B) }18}.$
设$m$为Mary的年龄,则$\frac{m}{30}=\frac{3}{5}$。解得$m=\boxed{\textbf{(B) }18}.$
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