2006 AMC 12B Problem 4

Attempt Problem 4 of the 2006 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 12B solutions, or check the answer key.

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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?

$5$

$10$

$15$

$20$

$25$

Answer: A

Concepts:estimation percentage

Difficulty rating: 1080

Solution:

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

Thus, the correct answer is A.

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