Question

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Write a system of equations and find what is the price of a hot dog concession stand?

Answer 1

The hot dog are $2.63

Explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625