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2017 AMC 10A Problem 14

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2017 AMC 10A Problem 14AMC 10 Step by Step

Name: Date: September 13, 2026

Ratios, Percents & Averages · difficulty 3 of 5 · about 4 min · position P11-15

Every week Roger pays for a movie ticket and a soda out of his allowance. Last week, Roger's allowance was $A$ dollars. The cost of his movie ticket was $20\%$ of the difference between $A$ and the cost of his soda, while the cost of his soda was $5\%$ of the difference between $A$ and the cost of his movie ticket. To the nearest whole percent, what fraction of $A$ did Roger pay for his movie ticket and soda?

A)
$9\%$
B)
$19\%$
C)
$22\%$
D)
$23\%$
E)
$25\%$

2017 AMC 10A Problem 14

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