SOLUTION: The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange.

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Question 982692: The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange.
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Make oranges = x
and apples = y
Form two equations.
12x + 7y = 5.36.....(1)
8x + 5y = 3.68......(2)
Multiply (1) by 5 and (2) by 7
60x + 35y = 26.8.....(1)
56x + 35y = 25.76....(2)
Take (2) from (1)
4x = 1.04
x = 0.26
Substitute x = 0.26 into (1)
12x + 7y = 5.36
12(0.26) + 7y = 5.36
3.12 + 7y = 5.36
7y = 5.36 - 3.12
7y = 2.24
y = 0.32
Oranges = 0.26
Apples = 0.32
Hope this helps:-)

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