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?
~~~~~~~~~~~~~~~


<pre>
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 = {{{(126.50 - 15*18)/(4.75 - 15)}}} = 14.


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


<U>CHECK</U>.   14*4.75 + 4*15 = 126.50  dollars, in total.    ! Correct !
</pre>

Solved.