Difference between revisions of "2013 AMC 10B Problems/Problem 6"
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Revision as of 16:32, 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
.