Question

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 bags of popcorn ,B .Solve the system to see how many of each shana bought

Answer 1

Answer: Shana bought 2 sodas.

Shana bought 5 bags of popcorn.

Step-by-step explanation:

Let S represent the number of sodas that Shana bought.

Let B represent the number of bags of popcorn that Shana bought.

Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that

S + B = 7

Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that

3S + 4B = 26 - - - - - - - - - - - - -1

Substituting S = 7 - B into equation 1, it becomes

3(7 - B) + 4B = 26

21 - 3B + 4B = 26

- 3B + 4B = 26 - 21

B = 5

S = 7 - B = 7 - 5

S = 2