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2000 AMC 8 Problems/Problem 1: Difference between revisions

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Aunt Anna is <math>42</math> years old. Caitlin is <math>5</math> years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?
Aunt Anna is <math>42</math> years old. Caitlin is <math>5</math> years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?


<math>
<math>\mathrm{(A)}\ 15\qquad\mathrm{(B)}\ 16\qquad\mathrm{(C)}\ 17\qquad\mathrm{(D)}\ 21\qquad\mathrm{(E)}\ 37</math>
\mathrm{(A)}\ 15
\qquad
\mathrm{(B)}\ 16
\qquad
\mathrm{(C)}\ 17
\qquad
\mathrm{(D)}\ 21
\qquad
\mathrm{(E)}\ 37
</math>
== Solution ==
If Brianna is half as old as Aunt Anna, then Briana is <math>42/2</math> years old, or <math>21</math> years old.


If Caitlin is <math>5</math> years younger than Briana, she is <math>21-5</math> years old, or <math>16</math>.
==Solution 1==
If Brianna is half as old as Aunt Anna, then Brianna is <math>\frac{42}{2}</math> years old, or <math>21</math> years old.
 
If Caitlin is <math>5</math> years younger than Brianna, she is <math>21-5</math> years old, or <math>16</math>.


So, the answer is <math>\boxed{B}</math>
So, the answer is <math>\boxed{B}</math>


==See Also==
==See Also==
 
{{AMC8 box|year=2000|before=First<br />Question|num-a=2}}
[[2000 AMC 8 Problems/Problem 2|Next Problem]]
{{MAA Notice}}
 
[[2000 AMC 8]]

Latest revision as of 01:58, 28 June 2024

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 1

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

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

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

See Also

2000 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First
Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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