Question

You're selling snacks at a basketball game you're offering up hotdogs and fries. Each hot dog costs 1.50 and each order of fries costs 0.50. At the end of the night you made a whopping $78.50! You sold a total of 87 hotdogs and orders of fried combined. How many hotdogs were sold and how many orders of fries? (Let x=number of hotdogs and y=number of orders of fries

Answer 1

Answer: the number of hotdogs that were sold is 35

the number of orders of fries is 52

Explanation:

Let x represent the number of hotdogs that were sold.

Let y represent the number of orders of fries.

You sold a total of 87 hotdogs and orders of fried combined. This means that

x + y = 87

Each hot dog costs 1.50 and each order of fries costs 0.50. At the end of the night you made a whopping $78.50! This means that

1.5x + 0.5y = 78.5 - - - - - - - - - - -1

Substituting x = 87 - y into equation 1, it becomes

1.5(87 - y) + 0.5y = 78.5

130.5 - 1.5y + 0.5y = 78.5

- 1.5y + 0.5y = 78.5 - 130.5

- y = - 52

y = 52

Substituting y = 52 into x = 87 - y, it becomes

x = 87 - 52

x = 35