Question

If two pizzas and four salads cost $46, and five pizzas and nine salads cost $109, what is the price of a salad?

Answer 1

Answer:

Salad: $ 6

Pizza: $ 11

Step-by-step explanation:

Pizza = p

Salad = s

a) 2p + 4s = 46

b) 5p + 9s = 109

a) -5(2p + 4s= 46) = -10p-20s=-230

b) 2(5p + 9s = 109) = 10p + 18s = 218

Add both equations:

(-10p-20s= -230) + (10p + 18s = 218)

-2s = -12

s = 6

a) 2p + 4(6)=46

2p + 24 = 46

2p = 46-24

p = 22/2

p = 11