Thomas, a waiter at a local restaurant, is paid $\$4$ an hour plus tips. His friend Marie works at a local bookstore for $\$12$ an hour. Marie and Thomas worked the same number of hours. If Thomas made $\$120$ in tips and both made the same amount of money, how many hours did Thomas and Marie each work?
+592 Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours
Hope this helps :)
