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Ganezh [65]
3 years ago
6

Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn cost $4 per bag. Shana bought 7 things from the co

ncession, 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.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
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.
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jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

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or getting rid of the decimal by multiplying by 100 on both sides.

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Multiplying (1) by 8 and subtracting from (2) we get

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