Question

Tom decides to pick up some pizzas and drinks for his family. He notices that the pizza costs the same as 7 drinks. The 2 pizzas and 8 drinks cost $33. What is the price of each item?

Answer 1

Drinks = $1.5

Pizza = $10.50

Explanation:

let d = drinks

p = pizza

p = 7d equation 1

2p + 8d = 33 equation 2

from equation 1, we know the price of one pizza, the price of two pizzas can be determined by multiplying by 2

2p = 7d x 2 = 14d eqn 3

Substitute for 2p in equation 2

14d + 8d = 33

22d = 33

Divide both sides of the equation by 22

d = $1.5

Substitute for d in equation 1

p = 1.5 x 7 = $10.5