SOLUTION: Sue did twice as many push-ups as Mark did. Bonnie did five less push-ups than Mark did. If they did 71 push-ups together, how many did each do?

Question 911787: Sue did twice as many push-ups as Mark did. Bonnie did five less push-ups than Mark did. If they did 71 push-ups together, how many did each do?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sue did twice as many push-ups as Mark did. Bonnie did five less push-ups than Mark did. If they did 71 push-ups together, how many did each do?
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Equations:
s = 2m
b = m-5
s + m + b = 71
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Substitute and solve for "m"::
2m + m + m-5 = 71
4m = 76
----
m = 19 (# of Mark push-ups)
s = 2m = 38 (# of Sue push-ups)
b = m-5 = 14 (# of Bonnie push-ups)
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Cheers,
Stan H.
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