Question 142693: Hello, I've got to solve this word problem using a system of linear equations and I do not know where to begin, it seems to me like all the variables are just not there. Any help would be appreciated. Thank you in advance.
A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?
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Let "b" be bricklayer time; Let "e" be electrician time.
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EQUATION:
Time Eq.: b + e = 90
Value Eq: 12b + 16e = 1350
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Use any method to solve the system to get:
b = 22.5 hrs.
e = 67.5 hrs.
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Cheers,
Stan H.
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