SOLUTION: A plumber makes $4.50 per hour moth than his apprentice. During an 8-hour day their earnings total $284. How much does each make per hour?

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Question 998984: A plumber makes $4.50 per hour moth than his apprentice. During an 8-hour day their earnings total $284. How much does each make per hour?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52816)   (Show Source): You can put this solution on YOUR website!
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A plumber makes $4.50 per hour than his apprentice. During an 8-hour day their earnings total $284. How much does each make per hour?
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Let x and y be the earnings of a plumber and his apprentice per day (per 8-hour working day).

Then we have the system of two linear equation in two unknowns

x + y = 284,

x - y = 8*4.50 = 36.

Add both equations. You will get

2x = 284 + 36 = 320. Hence, x =  = 160.

Then y = 284 - 160 = 124.

Thus the plumber makes  = $20 per hour. 

The apprentice makes  = $15.50 per hour.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

A plumber makes $4.50 per hour moth than his apprentice. During an 8-hour day their earnings total $284. How much does each make per hour?
Let apprentice's hourly wage be A

Then plumber's is: A + 4.5

We then get: 8A + 8(A + 4.5) = 284

8A + 8A + 36 = 284

16A + 36 = 284

16A = 248

A, or apprentice's per-hour wage = , or 

You should be able to find the plumber's. 

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