2013 AMC 10A Problem 5
Problem 5 of 25EasierAlgebra
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid Dorothy paid and Sammy paid In order to share costs equally, Tom gave Sammy dollars, and Dorothy gave Sammy dollars. What is
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Solution
The total cost was , so each person’s share was .
Tom paid less than his share, and Dorothy paid less than her share, so and .
Therefore .
Thus, B is the correct answer.