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
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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) (Show Source): You can put this solution on YOUR website!
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
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