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 All the Marbles (Posted on 2005-04-22)
Five neighborhood children (two of whom- Henry and Kirby- are boys, and three of whom-Iris, Josephine, and Louise-are girls) are counting their marbles. Each child is a different age (7 through 11 years) and has at least one but no more than 5 of each of aggies, alleys, immies, mibs, and steelies. No two children have the same number of the same type of marble. From the information provided determine each child's age and the number of each type of marble in his or her collection.

1. The five children are Josephine, the 10 year old, the child who owns 2 alleys, the girl who has 3 immies, and the child who has 4 mibs.
2. Each child owns exactly 15 marbles.
3. The boy who has five steelies is older than at least one other child.
4. The number of steelies in one child's collection is exactly half his or her age.
5. The 11 year old child has one aggie.
6. The only types of marble of which Iris has an even number are immies and mibs.
7. One of the boys has 5 aggies.
8. Kirby doesn't own 2 of any type of marble.
9. The child with 3 immies has fewer than 3 mibs and fewer than 3 steelies.
10. One child has 3 aggies, 5 immies, and 1 steelie.
11. Each of at least 2 children has exactly twice as many alleys as immies.

 See The Solution Submitted by Catherine Rating: 4.3077 (13 votes)

 Subject Author Date Answer K Sengupta 2009-02-27 16:05:10 Solution abhishek 2005-07-24 15:42:51 typo in given solution LetheAren 2005-05-27 15:16:43 ALL THE MARBLES Bob 2005-05-18 14:06:08 Fascination Althea Maynard 2005-04-28 12:14:45 re: Another program Penny 2005-04-24 05:16:19 No Subject courtney folk 2005-04-24 01:47:11 Another program Charlie 2005-04-23 23:28:10 In response to overwhelming demand...... Penny 2005-04-23 20:58:59 re: This is much tougher than D3. jenessa 2005-04-23 19:52:30 Solution (XL matrix) Doofus 2005-04-23 15:13:24 Solution (VB program / manual logic) Penny 2005-04-23 13:43:47 re(3): Answer + Solution (explanation) Eric 2005-04-22 22:14:37 re(2): Answer + Solution (explanation) nikki 2005-04-22 22:10:13 Answer, no solution Eric 2005-04-22 22:07:35 re: Answer + Solution (explanation) Erik O. 2005-04-22 22:06:07 This is much tougher than D3. Erik O. 2005-04-22 22:01:11 Answer + Solution (explanation) nikki 2005-04-22 22:00:58

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