Tuesday, January 3, 2012

Answer to Math Olympiad #5

Problem:

A group of 21 people went to the county fair with 9 people on a stagecoach and 3 people in each buggy.  On the return trip, 4 people rode in each buggy.  How many people returned on the stagecoach?

Solution:

Going to the fair, 12 people rode in the buggies.  Since 3 people rode in each buggy, there were 4 buggies.  On the return trip, 4 people rode in each buggy.  Then 16 people rode in the buggies.  Since the total number of people was 21, 5 rode in the coach.

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