Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The Osborne family and the Carey family are seeing a movie together in the theater. At the concession stand, Mr. Osborne paid $10 for 2 large popcorns and 1 large drink that his family will share. Mrs. Carey bought 4 large popcorns and 1 large drink and paid $16. How much does each item cost? A large popcorn costs $ and a large drink costs $ .

Answer 1

p = 3 dollars d = 4 dollars

Explanation:

2 p + 1 d = 10 given

4 p + 1 d = 16 given Subtract second equation from first to get:

-2p = - 6

p = 3 dollars then use this value in either of the equations to find 'd'

2(3) + d = 10

d = 4