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If Simon paid 25 cents for each orange and 15 cents for each

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If Simon paid 25 cents for each orange and 15 cents for each [#permalink]

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New post 19 Aug 2013, 05:59
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Difficulty:

  55% (hard)

Question Stats:

54% (01:43) correct 46% (01:29) wrong based on 46 sessions

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If Simon paid 25 cents for each orange and 15 cents for each mango, then how many oranges did Simon buy?

1) Simon spent a total of $1.55 on his purchase of mango and oranges.
2) Simon bought fewer mango than oranges.
[Reveal] Spoiler: OA

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Re: If Simon paid 25 cents for each orange and 15 cents for each [#permalink]

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New post 19 Aug 2013, 06:07
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fozzzy wrote:
If Simon paid 25 cents for each orange and 15 cents for each mango, then how many oranges did Simon buy?

1) Simon spent a total of $1.55 on his purchase of mango and oranges.
2) Simon bought fewer mango than oranges.


From F.S 1, we know that \(0.25*o+0.15*m = 1.55 \to 5o+3m = 31\).

We get integral solutions for o=2,m=7 and for o=5,m=2. Insufficient.

F.S 2 is clearly Insufficient.

Both taken together, we know that m<o. Thus, the no of oranges bought = 5.Sufficient.

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Re: If Simon paid 25 cents for each orange and 15 cents for each   [#permalink] 19 Aug 2013, 06:07
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