2006 AMC 12B Problem 4

Below is the professionally curated solution for Problem 4 of the 2006 AMC 12B, 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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Concepts:estimationpercentage

Difficulty rating: 1080

4.

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?

55

1010

1515

2020

2525

Solution:

The five prices total about 8+5+3+2+1=198 + 5 + 3 + 2 + 1 = 19 dollars, so the change is about $1.00.\$1.00.

This is 120=5%\frac{1}{20} = 5\% of the twenty-dollar bill.

Thus, the correct answer is A.

Problem 4 in Other Years