Question 1149976
let x be the first mechanic's rate and y be the second mechanic's rate
:
(1)  x + y = 145
:
(2)  10x + 15y = 1750
:
solve the first equation for x and substitute for x in the second equation
:
x = 145 - y
:
10(145-y) +15y = 1750
:
1450 -10y +15y = 1750
:
5y = 300
:
y = 60
:
x = 145 -60 = 85
:
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The first mechanic's rate is $85 per hour and
:
The second mechanic's rate is $60 per hour
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:
check the answer by substituting for x and y in equation 2
:
10(85) + 15(60) = 1750
:
850 +900 = 1750
:
1750 = 1750
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answer checks
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