2017 AMC 10A Problems/Problem 14
Problem
Every week Roger pays for a movie ticket and a soda out of his allowance. Last week, Roger's allowance was dollars. The cost of his movie ticket was
of the difference between
and the cost of his soda, while the cost of his soda was
of the difference between
and the cost of his movie ticket. To the nearest whole percent, what fraction of
did Roger pay for his movie ticket and soda?
Solution
Let = cost of movie ticket
Let = cost of soda
We can create two equations:
Substituting we get:
which yields:
See Also
2017 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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