Difference between revisions of "2013 AMC 10B Problems/Problem 6"
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==Problem== | ==Problem== | ||
The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders? | The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders? | ||
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<math>\textbf{(A)}\ 22\qquad\textbf{(B)}\ 23.25\qquad\textbf{(C)}\ 24.75\qquad\textbf{(D)}\ 26.25\qquad\textbf{(E)}\ 28</math> | <math>\textbf{(A)}\ 22\qquad\textbf{(B)}\ 23.25\qquad\textbf{(C)}\ 24.75\qquad\textbf{(D)}\ 26.25\qquad\textbf{(E)}\ 28</math> | ||
Revision as of 20:02, 21 February 2013
Problem
The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders?
Solution
The sum of the ages of the fifth graders is 
, while the sum of the ages of the parents is 
. Therefore, the total sum of all their ages must be 
, and given 
people in total, their average age is 
.
