SOLUTION: Jerry worked 10 more overtime hours than Andrew one week. If Jerry worked 4 overtime hours for every 3 hours that Andrew worked for how many hours of overtime did each person work

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Question 1088955: Jerry worked 10 more overtime hours than Andrew one week. If Jerry worked 4 overtime hours for every 3 hours that Andrew worked for how many hours of overtime did each person work? Round your answer to the nearest tenth of an hour if necessary
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let x%2B10 be = to overtime hrs that Jerry worked
and x = to overtime hrs that Andrew worked
=> ratio is %28x%2B10%29%2Fx
If Jerry worked 4 overtime hours for every 3 hours that Andrew worked, ratio is 4%2F3 and we have
since ratios must be same,we have

%28x%2B10%29%2Fx=4%2F3 .......cross multiply
4x=3%28x%2B10%29
4x=3x%2B30
4x-3x=30
x=30
-> so, Jerry worked x%2B10+=30%2B10=40 overtime hrs
-> x=30 ->Andrew worked 30 overtime hrs
check:
%28x%2B10%29%2Fx=4%2F3
%2830%2B10%29%2F30=4%2F3
40%2F30=4%2F3...simplify left side
4%2F3=4%2F3