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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
The system of equations involving the number of sodas S ,and the bags of
popcorn ,B is
S + B = 7
3S + 4B = 26
The number of sodas Shana bought = 2
The number of bags of popcorn Shana bought = 5
let
the number of sodas = S
bags of popcorn = B
Therefore,
She bought 7 things.
S + B = 7
She spent a total of $26 . Therefore,
3S + 4B = 26
Combine the the system of equation
S + B = 7
3S + 4B = 26
S = 7 - B
3(7 - B) + 4B = 26
21 - 3B + 4B = 26
21 + B = 26
B = 26 - 21
B = 5
S + B = 7
S + 5 = 7
S = 7 - 5
S = 2
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