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

Line 11: Line 11:
  
 
Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars.  This means that <math>t-d = 30 - 10 = 20</math>, <math>\textbf{(B)}</math>.
 
Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars.  This means that <math>t-d = 30 - 10 = 20</math>, <math>\textbf{(B)}</math>.
 +
 +
==See Also==
 +
 +
{{AMC10 box|year=2013|ab=A|num-b=4|num-a=6}}

Revision as of 20:54, 7 February 2013

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


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

Solution

The total amount paid is $105 + 125 + 175 = 405$. To get how much each should have paid, we do $405/3 = 135$.

Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars. This means that $t-d = 30 - 10 = 20$, $\textbf{(B)}$.

See Also

2013 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions