32. Wolfgang and Heinrich worked as electricians at $14 and $12 per hour respectively. One month Wolfgang worked 10 hours more than Heinrich. If their total income for the month was $3520, how many hours did each work during the month?
Let's assume that Heinrich worked for x hours in the month. Then, Wolfgang worked for (x + 10) hours.
We can use the following equation to solve the problem:
14(x + 10) + 12x = 3520
Expanding the equation, we get:
14x + 140 + 12x = 3520
Combining like terms, we get:
26x + 140 = 3520
Subtracting 140 from both sides, we get:
26x = 3380
Dividing by 26, we get:
x = 130
Therefore, Heinrich worked for 130 hours in the month. To find out how many hours Wolfgang worked, we can use the equation:
x + 10 = 130 + 10 = 140
Therefore, Wolfgang worked for 140 hours in the month.
So, Heinrich worked for 130 hours and Wolfgang worked for 140 hours during the month.
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