A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a total of $402. The system of equations below can be used to find c the cost in dollars of a cake and P the cost in dollars of a pie. What is the price of a cake?

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

Represent price of Cake with C and Price of Pie with P

Cakes sold = 8

Pies sold = 14

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

Substitute 9 + P for C

Open the bracket

Collect Like Terms

Divide both sides by 22

Recall that

Hence, the price of the cake is $24 and the price of the Pie is $15

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step-by-step explanation:

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