SOLUTION: One grocery store charges $10.00 for 8 cans of soup. A second store charges $6.00 for 5 cans of soup, but you need to join a purchase club for $3.00 to buy them. Write the cost mod

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Question 998619: One grocery store charges $10.00 for 8 cans of soup. A second store charges $6.00 for 5 cans of soup, but you need to join a purchase club for $3.00 to buy them. Write the cost model equations for both stores and find the number of cans that makes the costs equal.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
n, number of cans of soup

One store: , although the store might not allow this way in practice.

Second store:

Those are the cost formulas, and you could assume the prices given were just a grouping for efficiency of stating the prices.

For what number of cans, n, will the costs at both stores be equal.

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Sixty cans at each place.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

One grocery store charges $10.00 for 8 cans of soup. A second store charges $6.00 for 5 cans of soup, but you need to join a purchase club for $3.00 to buy them. Write the cost model equations for both stores and find the number of cans that makes the costs equal.

Cost of 1 can at the 1st store: , or $1.25
Cost of 1 can at the 2nd store: , or $1.20

Let number of cans that'll make the 2 stores' costs equal, be C
Then:
1.25C - 1.2C = 3
.05C = 3
C, or number of cans that'll make the 2 stores' costs equal = , or