If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a

$20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find

the price of a hamburger and the price of a slice of pizza.

Guest Feb 16, 2020

#1**+1 **

*If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a $20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find the price of a hamburger and the price of a slice of pizza.*

See the part I highlighted in blue? Sl doesn't make sense, so I'm going to assume you meant $1.

Let H stand for the price in $ of a hamburger, and

Let P stand for the price in $ of a slice of pizza.

So 7H + 3P = 20 – 1 = 19**.**00

and 8H + 2P = 20 – 0**.**50 = 19**.**50

Multiply both sides of the 1st equation by 2 and get 14H + 6P = 38**.**00

Multiply both sides of the 2nd equation by 3 and get 24H + 6P = 58**.**50

Subtract the fourth equation from the third and get –10H = –20**.**50

Divide both sides of this equation by –10 and get **H = 2.05**

Plug 2**.**05 into the first equation in place of H (7)•(2**.**05) + 3P = 19**.**00

3P = 19**.**00 – 14**.**35 = 4**.**65

**P = 1.55**

_{.}

Guest Feb 16, 2020

edited by
Guest
Feb 16, 2020