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

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If apples are sold in baskets of 5, 15, and 30, and the [#permalink]

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31 Oct 2003, 11:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?

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31 Oct 2003, 11:58

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31 Oct 2003, 19:12
mantha dont have the answer.guess its a real qstn.
can u please explain,how did you get that?

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GMAT Instructor
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01 Nov 2003, 02:06
IMO the answer is 11 7/13
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Best,

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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01 Nov 2003, 11:05
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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03 Nov 2003, 10:51
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

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03 Nov 2003, 10:51
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