SOLUTION: Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house than he had planned and he earned $1.60 per hour less th
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-> SOLUTION: Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house than he had planned and he earned $1.60 per hour less th
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Question 1060291: Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house than he had planned and he earned $1.60 per hour less than he had previously calculated. How much was Kermit's anticipated hourly wage to paint Miss Piggy's house? Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
Kermit has agreed to paint Miss Piggy's house for $640.00. Unfortunately, it took Kermit 20 hours longer to paint the house
than he had planned and he earned $1.60 per hour less than he had previously calculated.
How much was Kermit's anticipated hourly wage to paint Miss Piggy's house?
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Let "a be Kermit's anticipated hourly wage, in dollars.
Then his real hourly wage was (a-1.6) dollars.
So, Kermit originally planned to complete the job in hours.
But in reality he spent hours.
The difference is 20 hours. It gives you an equation
- = 20.
To solve it, multiply both sides by a*(a-1.6). You will ge
640a - 640(a-1.6) = 20a(a-1.6).
= 0,
= 0,
= . . . .
The positive solution is a = 8.
Answer. Kermit's anticipated hourly wage of $8.
Check. = 80 hours. = = 100. 100 - 80 = 20. Correct !
