Question

Emily and Molly are selling pies for a school fundraiser. Customers can buy cherry pies and lemon pies. Emily sold 4 cherry pies and 1 lemon pie for a total of $30. Molly sold 8 cherry pies and 6 lemon pies for a total of $100. What is the cost for one CHERRY and LEMON pie.

Answer 1

cherry pie = 5

lemon pie =10

Explanation:

Step one:

let cherry be x

and lemon be y

the systems of the equation for the solution is given as

4x+y=30-----------1

8x+6y=100------2

Step two:

solve the equation simultaneously by substitution we have

4x+y=30

y=30-4x

put y=30-4x in equation 2

8x+6(30-4x)=100

8x+180-24x=100

8x-24x=100-180

-16x=-80

x=80/16

x=5

put x=4 in y=30-4x

y=30-4(5)

y=30-20

y=10