# 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 $$(Error compiling LaTeX. ! Missing  inserted.)12.48$, but in January her bill was$$17.54$ because she used twice as much connect time as in December. What is the fixed monthly fee? $\textbf{(A)}$2.53 \qquad\textbf{(B)} $5.06 \qquad\textbf{(C)}$6.24 \qquad\textbf{(D)} $7.42 \qquad\textbf{(E)}$8.77==Solution== Let (Error compiling LaTeX. ! Missing  inserted.)x$be the fixed fee, and$y$be the amount she pays for the minutes she used in the first month.$x+y=12.48$$ (Error compiling LaTeX. ! Missing $inserted.)x+2y=17.54$$(Error compiling LaTeX. ! Missing inserted.)y=5.06$$ (Error compiling LaTeX. ! Missing$ inserted.)x=7.42$We want the fixed fee, which is$\boxed{\text{D}}\$

## See Also

 2000 AMC 10 (Problems • Answer Key • Resources) Preceded byProblem 3 Followed byProblem 5 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 All AMC 10 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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