SOLUTION: Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid $4.7

Question 1182083: Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid $4.75 per hour in the restaurant and $15 per hour tutoring. If he earned $126.50 total, how many hours did he work in the restaurant?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant
and part of the time he worked tutoring a high school student in mathematics.
He was paid $4.75 per hour in the restaurant and $15 per hour tutoring.
If he earned $126.50 total, how many hours did he work in the restaurant?
~~~~~~~~~~~~~~~

x hours worked in the restaurant and the rest, (18-x) hours worked tutoring.


Write the money equation


    4.75x + 15*(18-x) = 126.50  dollars, in total.


From the equation


    x =  = 14.


ANSWER.  14 hours working in the restaurant and the rest, 18-14 = 4 hours working tutoring.


CHECK.   14*4.75 + 4*15 = 126.50  dollars, in total.    ! Correct !

Solved.

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