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If apples are sold in baskets of 5, 15, and 30, and the

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Intern
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If apples are sold in baskets of 5, 15, and 30, and the [#permalink] New post 31 Oct 2003, 10:10
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If apples are sold in baskets of 5, 15, and 30, and the percent of apples in 5 and 15-count baskets equals 80% of the total, and the percent of apples in 15-count and 30-count baskets also equals 80% of the total, what is the average number of apples per basket?


Please explain your answer.
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 [#permalink] New post 31 Oct 2003, 10:58
Got 16 as the answer. Please confirm. Thanks
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 [#permalink] New post 31 Oct 2003, 18:12
mantha dont have the answer.guess its a real qstn.
can u please explain,how did you get that?
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 [#permalink] New post 01 Nov 2003, 01:06
IMO the answer is 11 7/13
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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 [#permalink] New post 01 Nov 2003, 10:05
150/13, same as AkamaiBrah naswer is correct. I had done some miscalc last time. It is lengthy but straight forward.

x, y and z as the number of 5, 15 and 30 orange baskets.

From what is given, (5x+15y)/(5x+15y+30z) = 80/100;

(15y+30z)/(5x+15y+30z) = 80/100;

Solve these to get x = y = 6z;

The target is (5x+15y+30z)/(x+y+z) becomes
(5*6z+15*6z+30z)/(6z+6z+z)
= 150/13
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 [#permalink] New post 03 Nov 2003, 09:51
If apples are sold in baskets of 5, 15, and 30, and the percent of apples in 5 and 15-count baskets equals 80% of the total, and the percent of apples in 15-count and 30-count baskets also equals 80% of the total, what is the average number of apples per basket?

Using numbers may be easier..

say 100 is the total number of apples

Count5 - 20
Coutnt15 - 60
Count30 -20

Average = 100/(20/5+60/15+20/30) = 150/13
  [#permalink] 03 Nov 2003, 09:51
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