SOLUTION: A purchase of 5 oranges and 6 bananas is 2.05 and a purchase of 7 oranges and 8 bananas is 2.79. What is the cost of each orange?

Question 123535: A purchase of 5 oranges and 6 bananas is 2.05 and a purchase of 7 oranges and 8 bananas is 2.79. What is the cost of each orange?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A purchase of 5 oranges and 6 bananas is 2.05 and a purchase of 7 oranges and 8 bananas is 2.79. What is the cost of each orange?
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EQUATIONS:
5o+6b = 2.05
7o+8b = 2.79
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Multiply 1st equation by 7: Multiply 2nd equation by 5
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35o+42b = 7*2.05
35o+40b = 5*2.79
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Subtract 2nd from 1st to get:
2b = 0.4
b = 0.20 (price of a banana)
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Substitute into one of the 1st two equations to solve for "o":
5o+6*0.20 = 2.05
5o+1.20 = 2.05
5o = 0.85
o = 0.17 (price of an orange)
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Cheers,
stan H.

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