Answer:
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.
Answer: 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
