SOLUTION: 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 t

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Question 34425: 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 checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
B+E=90 & 12B+16E=1350 THUS B=90-E SUBSTITUTING 90-E FOR B IN THE SECOND EQUATION WE GET
12(90-E)+16E=1350 OR 1080-12E+16E=1350 OR 4E=270 OR E=270/4 OR E=67.5 HOURS
THUS B WORKED 90-67.5 HOURS OR 22.5 HOURS PROOF
12*22.5+67.5*16=1350 OR 270+1080=1350 OR 1350=1350