SOLUTION: 4 oranges + 5 apples = $3.56 3 oranges + 4 apples = $2.76 What is the cost of (one apple)? What is the cost of (one orange)?

Algebra ->  Absolute-value -> SOLUTION: 4 oranges + 5 apples = $3.56 3 oranges + 4 apples = $2.76 What is the cost of (one apple)? What is the cost of (one orange)?      Log On


   



Question 96780: 4 oranges + 5 apples = $3.56
3 oranges + 4 apples = $2.76
What is the cost of (one apple)?
What is the cost of (one orange)?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1st: 4 oranges + 5 apples = $3.56
2nd: 3 oranges + 4 apples = $2.76
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Multiply 1st by 3 and 2nd by 4 to get:
3rd: 12 O + 15 A = 10.68
4th: 12 O + 16 A = 11.04
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Subtract 3rd from 4th to get:
A = 0.36 (36 cents per apple)
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Substitute into 1st (or 2nd) to solve for "O".
4 O + 5*0.36 = 3.56
4 O + 1.8 = 3.56
4 O = 1.76
O = 0.44 (44 cents per orange)
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Cheers,
Stan H.