You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total $150. Let x represent the number of hot dogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold.

x = 35 hot dogs

y = 52 soda

Step-by-step explanation:

x = hot dogs

y = soda

Total sold

1 x + 1 y = 87 ... 1

2 x 0.50 y = 78.50 ... 2

Eliminate y

multiply (1) by - 0.50

Multiply (2) by 1.00

-0.50 x - 0.50 y = - 43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 - 35

y = 52

y = 52.00

x = 35 hot dogs

y = 52 soda