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jimjohn
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A number of apples and oranges are to be distributed evenly 24 Oct 2007, 11:48
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A number of apples and oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one of each type of fruit. If there are 20 oranges to be distributed, what is the minimum number of apples needed so that every basket contains less than twice as many apples as oranges?

(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.
(2) If the number of oranges were halved, it would no longer be possible to place an orange in every basket.



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bkk145
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A number of apples and oranges are to be distributed evenly 25 Oct 2007, 06:56
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jimjohn
A number of apples and oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one of each type of fruit. If there are 20 oranges to be distributed, what is the minimum number of apples needed so that every basket contains less than twice as many apples as oranges?

(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.
(2) If the number of oranges were halved, it would no longer be possible to place an orange in every basket.
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B?
I can't comprehend this one...
(1) doesn't look right b/c it doesn't tell you anything about apple.
(2) Current number of orange is 20, so half is 10. If the number of orange were halved and it is not possible to placed an orange in every basket, this means the number of basket is more than 10. Thus, the number of basket is any where between 11-20 or can be more.

However, since everything has to be distributed equally and knowing that 20 is the number of orange, the minimum number of basket must be 20. This is because 20 is not divisible by anything between 11 to 19. Since we know the minimum number of baskets, the minimum number of apple required can be found.

Not sure, but this is my best explanation.



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