26.2k views
4 votes
Wolfgang and Heinrich worked as electricians at $14 and $12 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?

1 Answer

6 votes
If x is the number of hours Heinrich works then his income would be 12x
If y is the number of hours Wolfgang works then his income would be 14y

If Wolfgang worked 10 hours more than Heinrich then:
y = x + 10

Now if their total income was $3520 then:
14(x + 10) + 12x = 3520
14x + 140 + 12x = 3520
26x = 3380
x = 130, therefor Heinrich worked 130 hours

If x = 130:
y = 130 + 10 = 140, therefor Wolfgang worked 140 hours
User Sevi
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories