Grandma's bakery sells single-crust apple pies for $6.99 and double-crust pies for $10.99. the total number of pies sold on friday was 331.64. how many each type were sold?

the number of single-crust cherry pies that was sold is 16

the number of double-crust apple pies that was sold is 20

Step-by-step explanation:

Let x represent the number of single-crust cherry pies that was sold.

Let y represent the number of double-crust apple pies that was sold.

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 pie for $6.99 and double-crust cherry pie for $10.99. If the amount collected for all the pies that day was $331.64, it means that

6.99x + 10.99y = 331.64 - - - - - - - - -1

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

6.99(36 - y) + 10.99y = 331.64

251.64 - 6.99y + 10.99y = 331.64

- 6.99y + 10.99y = 331.64 - 251.64

4y = 80

y = 80/4 = 20

x = 36 - y = x = 36 - 20

x = 16

thus, the first answer choice, y = sec x, is the correct one