Question

Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?

Answer 1

The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Let the cost of cherry pies be x and the cost of blackberry pies be y.

In case of Carlos, we get the equation as:

7 x + 4 y = 71   …(1)

In case of Elisa, we get the equation as:

3 x + 4 y = 51

4 y = 51 - 3 x   …(2)

Put equation (2) in equation (1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

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