Day. One he makes 3 peach pies and 6 cherry pies costing $48. Day 2 he spent $54.50 on 7 peach pies and 4 cherry pies. What was the cost of each peach and cherry pie

each cherry pie $5.75

each peach pie $4.50

Step-by-step explanation:

Create an equation for each of the days.

Assign variables first

let p represent the cost of peach pies

let c represent the cost of cherry pies

Day one:

3p + 6c = 48

Day two:

7p + 4c = 54.50

Rearrange the "Day one" equation to equal "p" by isolating.

3p + 6c = 48

3p = 48 - 6c Subtract 6c from both sides

p = 48/3 - 6c/3 Divide both sides by 3

p = 16 - 2c New equation!

Substitute p=16-2c into the "Day two" equation, replacing "p".

7p + 4c = 54.50 Day two equation

7 (16 - 2c) + 4c = 54.50 Substitute p with an equation

112 - 14c + 4c = 54.50 Distributed over brackets by multiplying

112 - 10c = 54.50 Combined like terms (-14c and 4c)

-10c = 54.50 - 112 Subtract 112 from both sides

-10c = - 57.5

c = - 57.5 / - 10 Divide both sides by - 10

c = 5.75 Cost of each cherry pie

Find the cost of each peach pie, use c = 5.75 and substitute in another equation.

p = 16 - 2c I chose this equation but it can be any one you want.

p = 16 - 2 (5.75) Multiply 2 and 5.75

p = 16 - 11.5 Subtract

p = 4.5 Cost of each peach pie

Therefore, each cherry pie is $5.75 and each peach pie is $4.50.