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2000 AMC 10 Problems/Problem 4

From AoPSWiki

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}}

See Also

2000 AMC 10 (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 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
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