Problema Solution

Bobby did five more that three times as many push-ups as Sam. I the two boys did fifty push-ups, how many did each boy do?

Answer provided by our tutors

let


b = the number of push-ups that Bobby did


s = the number of push-ups that Sam did


Bobby did five more that three times as many push-ups as Sam:


b = 5 + 3s


the two boys did 50 push-ups:


b + s = 50


by solving the system of equations:


b = 5 + 3s


b + s = 50


we find:


b = 38.75 push-ups


s = 11.25 push-ups


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Bobby did 38.75 push-ups.


Sam did 11.25 push-ups.