Four Dozen Campers
Math brain teasers require computations to solve.
The 4 dozen campers in the junior division live in 6 differently colored cabins along Miller's Pond. The smallest cabin has 6 campers, and the orange cabin is the largest with 10 campers. The yellow and green cabins are the only cabins with the same number of campers. The 13 youngest campers are in the red and blue cabins with the least number of campers. The purple cabin has 2 more campers than the blue cabin.
How many campers are in each cabin?
HintYou can make a chart. Work backwards to get some of the information.
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Answer
Orange = 10
Purple = 9
Yellow = 8
Green = 8
Blue = 7
Red = 6
From the second and fourth lines, you know that one cabin contains 10 campers and the two smallest cabins contain 7 and 6 campers. This leaves 48  10  7  6 = 25 campers unaccounted for. You know that the yellow and green cabins have the same number of campers (Statement 3) and that the purple cabin has either 8 (6+2) or 9 (7+2) campers (Statement 5). There can't be 8 in the purple cabin because that would leave 17 for the yellow and green cabins, which doesn't divide by two evenly. Therefore there are 9 campers in the purple cabin leaving 8 in each of the yellow and green cabins. This also means that there are 7 campers in the blue cabin, from the last statement. All that's left is the red cabin, with 6 campers.
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Comments
sailingwrestler
Oct 10, 2002
 very well organized hprulz....good job 
c13urly
Nov 07, 2002
 I finally got one. 
skoolkid
Jan 17, 2003
 I liked it. It was fun. 
ttrules
Nov 03, 2003
 i liked it 
anaearl
Nov 04, 2004
 very good. a good way to get your brain up in the morning 
anaearl
Nov 04, 2004
 very good. a good way to get your brain up in the morning 
Tiggr
Nov 04, 2004
 When I have fo think hard enough to make my head hurt that means it's a very good puzzle 
seanlandrews
Jan 11, 2007
 Very cool and fun teaser. 
Jimbo
May 29, 2012
 Make a table colours by number. Since you know 10 and 13 and two are the same (even total) then purple must be odd. Hence Purple = 9 leaving 16 for Green and Red. 13 becomes Red = 6 and Blue = 7. 
ron93
Feb 12, 2015
 The given are coherent and well stated. One of the reasons I got it right. Had so much fun 
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