# 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)}\ $$5.06 \qquad\mathrm{(C)}\$6.24 \qquad\mathrm{(D)}\$ $7.42 \qquad\mathrm{(E)}\$8.77$==Solution== Let$ (Error compiling LaTeX. ! Missing $inserted.)x$be the fixed fee, and$y$be the amount she pays for the minutes she used in the first month.$x+y=12.48$$(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$\boxed{\text{D}}$