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2013 AMC 10B Problem 17

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2013 AMC 10B Problem 17AMC 10 Step by Step

Name: Date: September 13, 2026

Games & Processes · difficulty 4 of 5 · about 6 min · position P16-20

Alex has $75$ red tokens and $75$ blue tokens. There is a booth where Alex can give two red tokens and receive in return a silver token and a blue token, and another booth where Alex can give three blue tokens and receive in return a silver token and a red token. Alex continues to exchange tokens until no more exchanges are possible. How many silver tokens will Alex have at the end?

A)
$62$
B)
$82$
C)
$83$
D)
$102$
E)
$103$

2013 AMC 10B Problem 17

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