Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn cost $4 per bag. Shana bought 7 things from the concession, all either sodas or bags of popcorn. Shana spent a total of $26. Write a system of equations involving the number of sodas, s, and the bag of popcorn, b. Solve the system to see how many of each Shana bought.

Question

Mathematics

Vasquez

3 February, 18:29

Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn cost $4 per bag. Shana bought 7 things from the concession, all either sodas or bags of popcorn. Shana spent a total of $26. Write a system of equations involving the number of sodas, s, and the bag of popcorn, b. Solve the system to see how many of each Shana bought.

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Answers (1)

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Brendan Vega · Answer 1

Equation : 3s + 4p = $26

Answer : 2 sodas and 5 bags of popcorn.

The equation would be 3s + 4p = $26. 3s is the $3 for every soda and 4p is $4 for every bag of popcorn.

Shana bought 2 sodas and 5 bags of popcorn. 3 x 2 is 6 and 5 x 4 is 20 which would equal $26. They also equal to the 7 things because of the 2 sodas and 5 bags.