Question

Grandmas bakery sells single crust apple pies for $6.99 and double crust apple pies for $10.99 the total number of pies sold on a busy Friday was 36 if the amount collected for all the pies that day was $331.64 how many of each pie was sold

Answer 1

The number of single crust apple pies sold are 16 and the number of double crust apple pies are 20 .

Explanation:

Let us assume that the numbers of single crust apple pies are x .

Let us assume that the numbers of double crust apple pies are y .

As given

Grandmas bakery sells single crust apple pies for $6.99 and double crust apple pies for $10.99.

The total number of pies sold on a busy Friday was 36 if the amount collected for all the pies that day was $331.64 .

Equations becomes

x + y = 36

6.99x + 10.99y = 331.64

Simplify the above equation

`(699x)/(100)+(1099y)/(100)=(33164)/(100)`

699x + 1099y = 33164

Two equations are

x + y = 36

699x + 1099y = 33164

Multiply x + y = 36 by 699 and subtrcted from 699x + 1099y = 33164 .

699x - 699x + 1099y - 699y = 33164 - 25164

400y = 8000

`y =(8000)/(400)`

y = 20

Putting all the values in the formula

x + 20 = 36

x = 36 -20

x =16

Therefore the number of single crust apple pies sold are 16 and the number of double crust apple pies are 20 .