Answer :

The answer is $12 for an Apple pie and $15 for a cherry pie.

To get this answer you need to use simultaneous equation.

Let’s first note down the facts we know-

a= Apple Pie and c= Cherry Pie

So,

3a + 2c = 66.............(1)

a + 4c = 72................(2)

To use simultaneous equation, we will multiple (1) by 2.

Therefore,

6a + 4c = 132........(1)

Then we will subtract (1) by (2). The answer we will get is,

5a = 60

Hence, a = 60/5 = 12

Now that we found a (Apple pie), we substitute it into (2) and find c.

12 + 4c = 72

4c = 72 - 12

= 60

c = 60 / 4 = 15

Therefore, Each Apple Pie = $12 and each cherry pie = $15

You could also cross check these values with equations (1) and (2).

Hope you find it helpful.

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