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?

Algebra ->  Proportions -> 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?       Log On


   



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) About Me  (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?
------------------
Equations:
s = 2m
b = m-5
s + m + b = 71
-------------------
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)
-----------------
Cheers,
Stan H.
-----------------