Difference between revisions of "2013 AMC 10A Problems/Problem 5"

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Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly.  During their trip Tom paid &#036;105, Dorothy paid &#036;125, and Sammy paid &#036;175.  In order to share costs equally, Tom gave Sammy <math>t</math> dollars, and Dorothy gave Sammy <math>d</math> dollars.  What is <math>t-d</math>?
 
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly.  During their trip Tom paid &#036;105, Dorothy paid &#036;125, and Sammy paid &#036;175.  In order to share costs equally, Tom gave Sammy <math>t</math> dollars, and Dorothy gave Sammy <math>d</math> dollars.  What is <math>t-d</math>?
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<math> \textbf{(A)}\ 15\qquad\textbf{(B)}\ 20\qquad\textbf{(C)}\ 25\qquad\textbf{(D)}\ 30\qquad\textbf{(E)}\ 35 </math>

Revision as of 21:37, 6 February 2013

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 $t$ dollars, and Dorothy gave Sammy $d$ dollars. What is $t-d$?

$\textbf{(A)}\ 15\qquad\textbf{(B)}\ 20\qquad\textbf{(C)}\ 25\qquad\textbf{(D)}\ 30\qquad\textbf{(E)}\ 35$