4 large pizzas and 10 cans of soday cost 63.00 3 large pizzas and 8 cans of soda cost 48.00 how much would its cost for 1 large pizza and 1 can of soda

Guest
Apr 20, 2017

#1
**+1 **

Let the price of a pizza = P

And let the price of a soda = S

We have the following equations

4P + 10S = 63 multiply by 3 = 12P + 30S = 189 (1)

3P + 8S = 48 multiply by -4 = -12P - 32S = -192 (2)

Add (1) and (2) and we have

-2S = -3 divide both sides by -2

S = -3/-2 = 1.5 so......a can of soda = $1.50

Sub 1.5 into 4P + 10S = 63 for S to find P

4P + 10(1.5) = 63

4P + 15 = 63

4P = 48 divide both sides by 4

P = 12 so.......a pizza costs $12

So...1 soda and 1 pizza = 1.5 + 12 = $13.50

CPhill
Apr 20, 2017