Question

The Boy Scouts are selling popcorn at the parade to raise money for their camping trip. Ethan sold 9 small bags and 2 large bags and made $36.05. Jack sold 5 small bags and 7 large bags and made $48. Find the cost of a small and large bag of popcorn

Answer 1

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Explanation:

Answer 2

The cost of a small bag of popcorn is
`\$2.95`

The cost of a large bag of popcorn is
`\$4.75`

Explanation:

Let

x----> the cost of a small bag of popcorn

y----> the cost of a large bag of popcorn

we know that

`9x+2y=36.05` ----> equation A

`5x+7y=48` ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2.95,4.75)

see the attached figure

therefore

The cost of a small bag of popcorn is
`\$2.95`

The cost of a large bag of popcorn is
`\$4.75`