Difference between revisions of "2011 AMC 8 Problems/Problem 10"
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Let <math>x</math> be the number of miles you ride. The number of miles you ride after the first half mile is <math>x-0.5.</math> We can write this equation: | Let <math>x</math> be the number of miles you ride. The number of miles you ride after the first half mile is <math>x-0.5.</math> We can write this equation: | ||
| − | <cmath>\begin{align | + | <cmath>\begin{align} 10 &= 2.4 + 0.2 \times \frac{x-0.5}{0.1} + 2\\ |
5.6 &= 2(x-0.5)\\ | 5.6 &= 2(x-0.5)\\ | ||
2.8 &= x-0.5\\ | 2.8 &= x-0.5\\ | ||
| − | x &= \boxed{\textbf{(C)}\ 3.3}\end{align | + | x &= \boxed{\textbf{(C)}\ 3.3}\end{align}</cmath> |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2011|num-b=9|num-a=11}} | {{AMC8 box|year=2011|num-b=9|num-a=11}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 20:03, 17 August 2021
Problem
The taxi fare in Gotham City is $2.40 for the first 
mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10?
Solution
Let 
be the number of miles you ride. The number of miles you ride after the first half mile is 
We can write this equation:
See Also
| 2011 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
