Red Beans

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sampath: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Thu May 19, 2011 9:20 pm

by sampath » Tue Jul 05, 2011 7:11 am

Three piles of 7 beans each are to be made from
10 red, 5 yellow, and 6 green beans. If all of
the beans must be used and each stack must
contain at least one bean of each color, then
what is the maximum number of red beans that can
be put in one of the stacks?

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Source: Beat The GMAT — Problem Solving | Tue Jul 05, 2011 7:11 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Tue Jul 05, 2011 7:20 am

Hi,
Each stack should have one each from the 3 colors.
So, after placing 3 beans of different colors, you have 4 slots left which can be filled by 4 red beans to maximize.
So, in total you can place maximum of 5 red beans on a stack.

Cheers!

Things are not what they appear to be... nor are they otherwise

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StoneBlack: Senior | Next Rank: 100 Posts; Posts: 39; Joined: Tue Jul 05, 2011 1:13 am

by StoneBlack » Tue Jul 05, 2011 7:32 am

yes. 5 max red beans in one stack.
1 slot for green and 1 for yellow. leaves 5 slots for the third colour.

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thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

by thephoenix » Tue Jul 05, 2011 7:53 am

each pile will have at most two beans one each from yellow and green in order to maximize the red beans in any pile. so that way we have only 5 slots left
so max # of red beans will be 5

Many of the great achievements of the world were accomplished by tired and discouraged men who kept on working

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artistocrat: Master | Next Rank: 500 Posts; Posts: 152; Joined: Wed Mar 12, 2008 4:36 pmFollowed by: 2 members; Thanked: 8 times

by artistocrat » Tue Jul 05, 2011 6:57 pm

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