A corner store bakery sells cake and pies. The cakes are $5 and the pies are $7. In one day the store sells 15 goods and makes a total of $91. How many cakes did they sell?

The answer to your question is it sold 7 cakes.

Step-by-step explanation:

Data

cakes = c = $5

pies = p = $7

total pieces = 15

total sell = $91

Process

1.- Write equations to solve this problem

                  c + p = 15       l

                5c + 7p = 91     ll

2.- Solve the system of equations by elimination

Multiply equation I by -5      

               -5c - 5p = -75

                 5c + 7p = 91

                 0   + 2p = 16

Solve for p

                            p = 16/2

                            p = 8

3.- Substitute p in equation l to find c

                 c + 8 = 15

solve for c

                 c = 15 - 8

                 c = 7

4.- Conclusion

It sold 7 cakes and 8 pies.

7 cakes were sold.

Step-by-step explanation:

Let x represent the number of cakes that were sold.

Let y represent the number of cakes that were sold.

The cakes are $5 and the pies are $7. The store makes a total of $91. This means that

5x + 7y = 91- - - - - - -- -1

The store sold a total number of 15 goods. This means that

x + y = 15

Substituting x = 15 - y into equation 1, it becomes

5(15 - y) + 7y = 91

75 - 5y + 7y = 91

- 5y + 7y = 91 - 75

2y = 16

x = 16/2 = 8

x = 15 - y = 15 - 8

x = 7

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step-by-step explanation: