Difference between revisions of "2000 AMC 10 Problems/Problem 4"
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==Problem== | ==Problem== | ||
| − | Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was < | + | Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was <math>12.48</math>, but in January her bill was <math>17.54</math> because she used twice as much connect time as in December. What is the fixed monthly fee? |
<math>\mathrm{(A)}\ \$ </math>2.53 \qquad\mathrm{(B)}\ \$ <math>5.06 \qquad\mathrm{(C)}\ \$ </math>6.24 \qquad\mathrm{(D)}\ \$ <math>7.42 \qquad\mathrm{(E)}\ \$ </math>8.77<math> | <math>\mathrm{(A)}\ \$ </math>2.53 \qquad\mathrm{(B)}\ \$ <math>5.06 \qquad\mathrm{(C)}\ \$ </math>6.24 \qquad\mathrm{(D)}\ \$ <math>7.42 \qquad\mathrm{(E)}\ \$ </math>8.77<math> | ||
Revision as of 17:22, 19 April 2021
Problem
Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was 
, but in January her bill was 
because she used twice as much connect time as in December. What is the fixed monthly fee?
2.53 \qquad\mathrm{(B)}\ $ 
6.24 \qquad\mathrm{(D)}\ $ 
8.77$==Solution==
Let$ (Error compiling LaTeX. Unknown error_msg)x
y
x+y=12.48$$ (Error compiling LaTeX. Unknown error_msg)x+2y=17.54$$ (Error compiling LaTeX. Unknown error_msg)y=5.06$$ (Error compiling LaTeX. Unknown error_msg)x=7.42
\boxed{\text{D}}$
See Also
| 2000 AMC 10 (Problems • Answer Key • Resources) | ||
| 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 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
