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

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 1

x=# of pushups Mark did

2x=# of pushups Sue did

x-5=# of pushups Bonnie did

x+2x+x-5=71

4x-5=71

4x=76

x=19 pushups for Mark

2(19)=38 pushups for Sue

19-5=14 pushups for Bonnie