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2000 AMC 10 Problem 4

Problem 4 of 25EasierAlgebra

Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48,\$12.48, but in January her bill was $17.54\$17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?

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Solution

January doubled only the connect time, so the increase $17.54$12.48=$5.06\$17.54 - \$12.48 = \$5.06 equals December’s connect-time cost. The fixed monthly fee is therefore $12.48$5.06=$7.42.\$12.48 - \$5.06 = \$7.42. Thus, the correct answer is D.

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Concepts: system of equations · linear equation

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