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
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