Question

A bakery sold apple pies for $11 and blueberry pies for $13. One Saturday they sold a total of 38 pies and collected a total of $460. How many apple pies did they sell and how many blueberry pies did they sell?

Answer 1

Answer)

Selling price of apple pies = $11

Selling price of blueberry pies = $13

Let the number of apple pies sold to be x

And the number of blueberry pies sold to be y

And it is mentioned that, they sold a total of 38 pies

So, x + y = 38....... Equation 1

Cost of apple pies = 11*x

Cost of blueberry pies = 13*y

And they collected a total of $460

So, 11x + 13y = 460..... Equation 2

Multiplying equation 1 with 11, we get

11x + 11y = 418.... Equation 3

Subtracting equation 3 from 2

We get

2*y = 42, y = 21

Substituting the value of y in equation 1, we get

X + 21 = 38

X = 17

So they sold, 17 apple pies and 21 blueberry pies.