SOLUTION: Danielle and Pete are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Danielle sold 4 blueberry pies and 8 lemon meringue pies for

Algebra ->  Equations -> SOLUTION: Danielle and Pete are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Danielle sold 4 blueberry pies and 8 lemon meringue pies for      Log On


   

Question 524794: Danielle and Pete are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Danielle sold 4 blueberry pies and 8 lemon meringue pies for a total of $152. Pete sold 2 blueberry pies and 8 lemon meringue pies for $144. Find the cost of one blueberry pie and one lemon meringue pie.
Answer by Maths68(1474) About Me  (Show Source):
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Let
Cost of one Blueberry pie = b
Cost of one Lemon meringue pie = m

Danielle sold 4 blueberry pies and 8 lemon meringue pies for a total of $152
4*b+8*m=152
4b+8m=152...........(1)
Pete sold 2 blueberry pies and 8 lemon meringue pies for $144
2*b+8*m=144
3b+8m=144.........(2)

Subtract (2) from (1)
4b+8m=152
-3b-8m=-144
-----------
b=8
Put the value of b in (1)
4b+8m=152...........(1)
4*8+8m=152
32+8m=152
8m=152-32
8m=120
m=120/8
m=15
Cost of one Blueberry pies = b = $8
Cost of one Lemon meringue pies = m = $15

Check
=====
4b+8m=152...........(1)
4*8+8*15=152
32+120=152
152=152

3b+8m=144.........(2)
3*8+8*15=144
24+120=144
144=144