SOLUTION: In pounds of each fruit, 2 oranges, 3 bananas and 4 apples cost $9.86. 3 oranges 2 bananas and 1 apple cost $6.89. 3 oranges and 3 bananas cost $6.60. What is the cost per pound of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: In pounds of each fruit, 2 oranges, 3 bananas and 4 apples cost $9.86. 3 oranges 2 bananas and 1 apple cost $6.89. 3 oranges and 3 bananas cost $6.60. What is the cost per pound of      Log On

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Question 931727: In pounds of each fruit, 2 oranges, 3 bananas and 4 apples cost $9.86. 3 oranges 2 bananas and 1 apple cost $6.89. 3 oranges and 3 bananas cost $6.60. What is the cost per pound of each fruit?
Found 2 solutions by Fombitz, TimothyLamb:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Translate to math equations.
2O%2B3B%2B4A=15
3O%2B2B%2BA=10
Add the equations together.
5O%2B5B%2B5A=25
O%2BB%2BA=5
Then multiply by 3
3O%2B3B%2B3A=highlight%2815%29

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = dollars per pound oranges
y = dollars per pound bananas
z = dollars per pound apples
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2x + 3y + 4z = 9.86
3x + 2y + 1z = 6.89
3x + 3y = 6.60
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put the system of linear equations into standard form
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2x + 3y + 4z = 9.86
3x + 2y + 1z = 6.89
3x + 3y = 6.60
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = dollars per pound oranges = 1.34
y = dollars per pound bananas = 0.86
z = dollars per pound apples = 1.15
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