Question

A group of 40 children attend a baseball game on a field trip. Each child received either a hot dog or a bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, How many hotdogs and bags of popcorn were purchased?

Answer 1

Answer: the number of hot dogs that were purchased was 27

the number of bags of popcorn that were purchased was 13

Explanation:

Let x represent the number of hot dogs that were purchased.

Let y represent the number of bags of popcorn that were purchased.

A group of 40 children attend a baseball game on a field trip. Each child received either a hot dog or a bag of popcorn. It means that

x + y = 40

Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50. It means that

2.25x + 1.75y = 83.50 - - - - - - - - - -1

Substituting x = 40 - y into equation 1, it becomes

2.25(40 - y) + 1.75y = 83.50

90 - 2.25y + 1.75y = 83.50

- 2.25y + 1.75y = 83.50 - 90

- 0.5y = - 6.5.y = - 6.5/ -0.5

y = 13

x = 40 - y = 40 - 13

x = 27