SOLUTION: Peter makes 2 dollars an hour more than Steve. When Peter works a 7 hour shift and Steve works a 5 hour shift, Steve makes 26 dollars less than Peter. How much do they each make

Question 528085: Peter makes 2 dollars an hour more than Steve.
When Peter works a 7 hour shift and Steve works a 5 hour shift, Steve makes 26 dollars less than Peter.
How much do they each make an hour?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Peter makes 2 dollars an hour more than Steve.
When Peter works a 7 hour shift and Steve works a 5 hour shift, Steve makes 26 dollars less than Peter.
How much do they each make an hour?
================================
Let S = Steve's hourly wage
Then Peter's wage = S + 2
During his 7 hr shift, Peter makes (S+2)*7
During his 5 hr shift, Steve makes S*5
Since Steve made $26 less than Peter, we can write
5S = 7(S+2) - 26
Solve for S:
5S = 7S + 14 - 26
2S = 12
S = 6
So, Steve made $6 an hr and Peter made $8 an hr
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