Bike Contest

Sarah, Daniel and Megan had a contest to see who could bike the most miles. Together Sarah and Daniel biked 21 miles. The combined total for Sarah and Megan was 19. Together Megan and Daniel rode 22 miles.
Who was the winner?

Answer
Daniel is the winner.
Sarah = 9 miles
Megan = 10 miles
Daniel = 12 miles
Set up three equations:
S + D = 21
S + M = 19
M + D = 22
and solve for S, M and D.

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