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2011 AMC 12A Problem 1

Problem 1 of 25EasierAlgebra

A cell phone plan costs $20\$20 each month, plus 55¢ per text message sent, plus 1010¢ for each minute used over 3030 hours. In January Michelle sent 100100 text messages and talked for 30.530.5 hours. How much did she have to pay?

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Solution

The text charge is 1005=500100 \cdot 5 = 500 cents =$5.= \$5. She talked 3030 minutes past the 3030-hour allowance, so the overage is 3010=30030 \cdot 10 = 300 cents =$3.= \$3. The total is $20+$5+$3=$28.\$20 + \$5 + \$3 = \$28. Thus, the correct answer is D.

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Concepts: money · unit conversion

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