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.

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