2000 AMC 8 Problems/Problem 1

Problem

Aunt Anna is $42$ years old. Caitlin is $5$ years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?

$\mathrm{(A)}\ 15 \qquad \mathrm{(B)}\ 16 \qquad \mathrm{(C)}\ 17 \qquad \mathrm{(D)}\ 21 \qquad \mathrm{(E)}\ 37$

Solution

If Brianna is half as old as Aunt Anna, then Briana is $\frac{42}{2}$ years old, or $21$ years old.

If Caitlin is $5$ years younger than Briana, she is $21-5$ years old, or $16$ .

So, the answer is $\boxed{B}$

Solution

Since Brianna is half of Aunt Anna's age this means that Brianna is $21$ years old. Now we just find Caitlin's age by doing $21-5$ . This makes $16$ or $\boxed{B}$

2000 AMC 8 (Problems • Answer Key • Resources)
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2000 AMC 8 Problems/Problem 1

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