Question

Sam is making Apple Pies and Pumpkin Pies for her Pie shop. She sells eachApple Pie for $6 and each Pumpkin Pie for $7. If Sam sells a total of 80 piesone day and makes a total of $512, how many apple pies did she sell?

Answer 1

Let m represent the number of apple pies Sam is making and

Let n represent the number of pumpkin pies Sam is making

If Sam sells a total of 80 pies, this can be represented by

m + n = 80 ------------------------------equation (1)

If she makes a total of $512 on the same day, this cost can be represented by

6m + 7n = 512 ----------------------------equation (2)

Solving both equations simultaneously

m + n = 80

6m + 7n = 512

from m + n = 80,

m = 80 - n

substitute m = 80 - n into equation (2)

we have

6(80 -n) + 7n = 512

480 - 6n + 7n = 512

480 + n = 512

n = 512 - 480

n = 32

Put n = 32 into m = 80 - n

we have

m = 80 - 32

m = 48

The number of apple pies Sam sell is 48