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2006 AMC 12B Problem 4

Problem 4 of 25EasierAlgebra

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

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Solution

The prices total $18.95,\$18.95, so the change is $1.05.\$1.05. As a percentage of $20.00,\$20.00, this is 1.0520100%=5.25%. \frac{1.05}{20}\cdot100\% = 5.25\%. The closest listed percentage is 5%.5\%. Thus, the correct answer is A.

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Concepts: estimation · percentage

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.