Question

How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?

I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.

Answer 1

Jack earns $37

Mark earns $21

Explanation:

m + j = 58

11m + 10j = 601

j = 58 - m

11m + 10(58 - m) = 601

11m + 580 - 10m = 601

1m = 601 - 580

m = 21

j = 58 - m

j = 58 - 21

j = 37

Answer 2

37 x 10 = 370
21 x 11 = 231

Mark worked 21 Hours, Jack worked 37 Hours.