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Grandma's bakery sells single crust apple pies for $6.99 in double crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected that day was $331.64 how many of each type were sold

1 Answer

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Answer: 16 single crust apple pies and double crust apple pies were sold.

Explanation:

Let x represent the number of single crust apple pies sold on a Friday.

Let y represent the number of double crust apple pies sold on a Friday.

The total number of pies sold on a busy Friday was 36. This means that

x + y = 36

Grandma's bakery sells single crust apple pies for $6.99 in double crust cherry pies for $10.99. The total amount that was collected that Friday was $331.64. This means that

6.99x + 10.99y = 331.74- - - ---- - - - -1

Substituting x = 36 - y into equation 1, it becomes

6.99(36 - y) + 10.99y = 331.74

251.64 - 6.99y + 10.98y = 331. 74 - 3 31.74

251.64 - 331.74

4y = 80

y = 80/4 = 20

x = 36 - y i= 36 - 20

x = 16

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