2000 AMC 10 Problems/Problem 4

Problem

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

$\mathrm{(A)}\$ $2.53 \qquad\mathrm{(B)}\$ $5.06 \qquad\mathrm{(C)}\$ $6.24 \qquad\mathrm{(D)}\$ $7.42 \qquad\mathrm{(E)}\$ $8.77$

Solution

Let $x$ be the fixed fee, and $y$ be the amount she pays for the minutes she used in the first month.

$x+y=12.48$

$x+2y=17.54$

$y=5.06$

$x=7.42$

We want the fixed fee, which is $\boxed{\text{D}}$

2000 AMC 10 (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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2000 AMC 10 Problems/Problem 4

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