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All the Marbles (Posted on 2005-04-22) Difficulty: 3 of 5
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)

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Answer Comment 18 of 18 |

The answer is summarized as follows:

Name        age     # steelies # mibs  # immies # alleys # aggies
Louise     7 years     2         1         3       5        4
Josephine  8 years     4         3         2       4        2 
Henry      9 years     5         2         1       2        5    
Kirby      10 years    1         5         5       1        3 
Iris       11 years    3         4         4       3        1 
 

  Posted by K Sengupta on 2009-02-27 16:05:10
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