Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?

Respuesta :

Answer:

You sold 6 cherry pies and 14 apple pies.

Step-by-step explanation:

It's a system of equations problem.

12C + 9A = 198

A + C = 20

A = 20 - C

12C + 9(20 - C) = 198

12C + 180 - 9C = 198

3C + 180 = 198

3C = 18

C = 6

A + 6 = 20

A = 14

Answer:

Cherry Pie=$12 per 1

Apple pie= $9 per 1

Let x represent number of Cherry Pies sold.

let y represent number of Apple pie sold

x + y = 20---------------1

12x + 9y = 198---------2

From eqn 1

x=20-y

Substitute into eqn 2

12x + 9y = 198

12(20-y) + 9y=198

240 - 12y + 9y = 198

240 - 3y =198

3y = 240 - 198

3y=42

y=14.

x + y =20

x + 14=20

x=20-14

x=6.

So...

Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES