2001 CEMC Gauss (Grade 8) Problems/Problem 7

The following problem is from both the 2001 CEMC Gauss (Grade 8) #7 and 2001 CEMC Gauss (Grade 7) #9, so both problems redirect to this page.

Problem

The bar graph shows the hair colours of the campers at Camp Gauss. The bar corresponding to redheads has been accidentally removed. If $\50\%$ (Error compiling LaTeX. Unknown error_msg) of the campers have brown hair, how many of the campers have red hair?

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$\text{ (A) }\ 5 \qquad\text{ (B) }\ 10 \qquad\text{ (C) }\ 25 \qquad\text{ (D) }\ 50 \qquad\text{ (E) }\ 60$

Solution 1

Let $r$ be the number of people with red hair. Since $50\%$ or half of the campers have brown hair, the total number of campers of the other hair colors must also be $25$ . Thus, we have:

$5 + 10 + r = 25$

$r + 15 = 25$

$r = 10$

~anabel.disher

2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
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CEMC Gauss (Grade 8)

2001 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources)
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CEMC Gauss (Grade 7)

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2001 CEMC Gauss (Grade 8) Problems/Problem 7

Problem

Solution 1