2013 AMC 10A Problems/Problem 5
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Problem
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $105, Dorothy paid $125, and Sammy paid $175. In order to share costs equally, Tom gave Sammy dollars, and Dorothy gave Sammy dollars. What is ?
Solution
The total amount paid is . To get how much each should have paid, we do
Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars. This means that ,