Question

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 of $104.50. You sold a total of 113 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

Answer 1

35 hotdogs and 52 sodas sold.

Explanation:

x = the number of hotdogs sold, x>0

y = the number of sodas sold, y>0

At the end of the night you made a total of $78.50:

1.50x + 0.50y = 78.50

You sold a total of 87 hotdogs and sodas combined:

x + y = 87

We have the following system of equations:

1.50x + 0.50y = 78.50

x + y = 87