4 pizzas and 2 bottles of soda cost $23.00. 2 pizzas and 2 bottles of soda cost $12.00. what is the cost of a single pizza? a single bottle of soda. Demonstrate your process

Question

4 pizzas and 2 bottles of soda cost $23.00. 2 pizzas and 2 bottles of soda cost $12.00. what is the cost of a single pizza? a single bottle of soda. Demonstrate your process and avoid the use of variable when possible. this is not a guess and check problem. Demonstrate solve the problem by scaling up and down in a proportions table?

Answer 1

4P + 2S = 23

2P + 2S =12 subtract 2nd equation from 1st

2P = 11 divide by 2

P = 11/2 = $5.50 for a pizza

2S = 12-2P divide by 2

S = 6-P = 6-5.5 = $.50 = 50 cents for a soda