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?

Guest Feb 14, 2021

#1**+1 **

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 :)

Logarhythm Feb 14, 2021