1988 AJHSME Problems/Problem 20

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Problem

The glass gauge on a cylindrical coffee maker shows that there are $45$ cups left when the coffee maker is $36\%$ full. How many cups of coffee does it hold when it is full?

$\text{(A)}\ 80 \qquad \text{(B)}\ 100 \qquad \text{(C)}\ 125 \qquad \text{(D)}\ 130 \qquad \text{(E)}\ 262$

Solution

Let the amount of coffee the maker will hold when full be $x$ . Then, $.36x=45 \Rightarrow x=125 \rightarrow \boxed{\text{C}}$

1988 AJHSME (Problems • Resources)
Preceded by Problem 19	Followed by Problem 21
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1988 AJHSME Problems/Problem 20

From AoPSWiki

Problem

Solution

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