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# help

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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.

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

.

Feb 16, 2020
edited by Guest  Feb 16, 2020