2006 AMC 12B Problems/Problem 4

Problem

Mary is about to pay for five items at the grocery store. The prices of the items are $$$$ 7.99, $$$$ 4.99, $$$$ 2.99, $$$$ 1.99, and $$$$ 0.99. Mary will pay with a twenty-dollar bill. Which of the following is closest to the percentage of the $$$$ 20.00 that she will receive in change?

$\text {(A) } 5 \qquad \text {(B) } 10 \qquad \text {(C) } 15 \qquad \text {(D) } 20 \qquad \text {(E) } 25$

Solution

The total price of the items is $(8-.01)+(5-.01)+(3-.01)+(2-.01)+(1-.01)=19-.05=18.05$

$20-18.05=1.95$

$\frac{1.95}{20}=.0975 \Rightarrow \text{(C)}$

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2006 AMC 12B Problems/Problem 4

Problem

Solution

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