SOLUTION: Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents. She packs them in bags of 5 apples and 10 oranges and sells them for 20x each. How much did Diana pay for eac
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Question 1026320: Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents. She packs them in bags of 5 apples and 10 oranges and sells them for 20x each. How much did Diana pay for each apple if she got $24 total from selling all the fruit?
The answer they give is $0.30 each, but I'm at a loss to figure this one out. Any help would be great!
Thanks, Garrett Found 3 solutions by addingup, stanbon, solver91311:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! Please review your problem and make sure you copied it exactly. Something is not right.
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You can put this solution on YOUR website! Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents each
She packs them in bags of 5 apples and 10 oranges and sells them for 20x each. How much did Diana pay for each apple if she got $24 total from selling all the fruit?
The answer they give is $0.30 each, but I'm at a loss to figure this one out. Any help would be great!
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20x cents for 20 apples
40(x+10) = 40x+40 for 40 oranges
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Box DATA::
5x + 10(x+10) = 20x
5x + 10x + 100 = 20x
5x = 100
x = 20 cents (cost of one apple)
x+10 = 30 cents (cost of one orange)
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Cheers,
Stan H.
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She has 20 apples and 40 oranges, so she makes 4 bags with 5 apples and 10 oranges each. She sells the 4 bags for 20x each for a total of 80x, and this total is 2400 cents. Therefore:
Solve for
John
My calculator said it, I believe it, that settles it
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