Think Tank
10/01/2002
By K.H. "Wicks" Wickremasinghe
The Sports Card Exchange
Margaret, who saw Alf, Ben and Chuck exchange sports cards, asked, "How many cards do you guys have?"
"If Ben gives me six of his football cards for one of my baseball cards, I'll have twice as many cards as him," Alf said.
"If Chuck gives me 14 of his hockey cards for one of my football cards, I'll have three times as many cards as him," Ben said.
"If Alf gives me four of his baseball cards for one of my hockey cards, I'll have six times as many cards as him," Chuck said.
How many cards did each of them have?
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CrossNumber 78
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Across
1. See 27 Down
3. 8 Across + 22 Down
5. 9 Down + 28 Across
6. 3 Across + 21 Down
8. 9 Down + 10 Across
10. 22 Down + 28 Across
12. 20 Down + 23 Down
14. 5 Across + 30 Across
17. 6 Across + 29 Across
18. 17 Across + 29 Across
19. 21 Across + 29 Across
21. 3 Down + 11 Down
23. 1 Across + 11 Down
25. 8 Across + 21 Across
27. 21 Down + 26 Down
28. See 5 Across
29. 6 Across + 21 Down
30. 4 Down + 21 Across
Down
2. 4 Down + 30 Acros
3. See 11 Down
4. 11 Down + 21 Across
5. 1 Across + 27 Across
7. See 9 Down
9. 7 Down + 28 Across
11. 1 Across + 3 Down
13. 3 Across + 28 Across
14. 8 Across + 28 Across
15. 1 Across + 5 Down
16. 9 Down + 27 Across
20. 9 Down + 21 Across
21. 3 Across + 8 Across
22. 5 Across + 9 Down
23. 3 Down + 28 Across
24. 5 Across + 6 Across
26. 3 Down + 22 Down
27. 1 Across + 9 Down
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Solutions to August's Puzzles
CrossNumber 76
The Building Lot
Answer: 36' x 77'
Solution: Let the diagonal represent "a", the longer side represent "b" and the short side
represent "c."
c2 = a2-b2
c = 2(a+b)/9
81c2 = 4(a+b)(a+b)
81c2/(a+b) = 4(a+b) = 81(a-b)
77a = 85b, thus the smallest values of the sides are 77 and 36.
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Contest Rules: All entries must be received by October 30, 2002. The winners of the word puzzle and CrossNumber (can be the same person) will be drawn from all correct entries. Fax all entries to 847-634-4240. All entries must include name, complete address, company affiliation and daytime phone number to be considered.