2002 CEMC Gauss (Grade 8) Problems/Problem 8

Problem

In a jar, the ratio of the number of oatmeal cookies to the number of chocolate chip cookies is 5:2. If there are 20 oatmeal cookies, the number of chocolate chip cookies in the jar is

$\textbf{(A)}\ 28 \qquad\textbf{(B)}\ 50 \qquad\textbf{(C)}\ 8 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 18$

Solution 1

Using the ratio, we can let the number of oatmeal cookies be $5x$ and the number of chocolate chip cookies be $2x$ . Since the number of oatmeal cookies is also $20$ , we have:

$5x = 20$

$x = 4$

Plugging $x = 4$ into $2x$ to find the number of chocolate chip cookies, we find that there are $2 \times 4 = \boxed {\textbf {(C) } 8}$ chocolate chip cookies.

~anabel.disher

2002 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
Preceded by Problem 7	Followed by Problem 9
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CEMC Gauss (Grade 8)

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2002 CEMC Gauss (Grade 8) Problems/Problem 8

Problem

Solution 1