Answer:
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.
