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Hi
sum of the two rates was $130 per hour
Let x and (130 - x) represent the $/hr of the 15hr and 5hr mechanics respectively
Questions states***
x*15hr + (130-x)5hr = $1500
solving for x
15x -5x + 650 = 1500
10x = 850
x = $85 for one mechanic. the other $45 ($130 - $85)
CHECKING our Answer
15*$85 + 5*$45 = $1500