European Soccer Scores

During one of the European soccer cup tournaments, the Austrians scored 34 more goals than the Belgians, who scored 26 less goals than the Czechs. The English scored 8 more than the Danes, and the Czechs scored 13 more goals than the English. The total goals scored by the Belgians and the English was 37.

How many goals were scored by each of the five teams?

Greetings Readers,

Beginning with the January 2003 issue of Advanced Packaging, we will be expanding our coverage of the industry, and unfortunately this means that this is the last appearance of Wicks and his puzzles in Advanced Packaging. This was not an easy decision because we know how popular Think Tank is. We owe it to the industry, though, to fit as much coverage as possible into our pages. We thank you for your support and interest in Think Tank over the years!

CrossNumber 80

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(All answers are numbers; prime means a prime number.)

Across

1. 4 Down squared/6
2. 6 Down + 7 Down + 27 Down
3. 7 Down + 8 Across
4. 3 x (3 Across + 6 Down + 27 Down)
5. 1 Across + 4 Down + 27 Down
6. 24 Across – 14 Across – 2 x 1 Down
7. Prime
8. 4 Down + 12 Across
9. 18 Down + 3 x 3 Across
10. Product of two prime numbers
11. 4 Down x 29 Down/6
12. 4 Down x (1 Down + 7 Down)/2
13. (1 Across + 1 Down)/2 – 6 Down
14. 4 Down x 5 Down
15. 20 Across – 2 x 29 Down
16. 1 across + 3 Across
17. 1 Across x 1 Down
18. 3 Across x 4 Down

Down

1. 4 Down + 22 Across + 29 Down
2. 1 Across x 3 Across
3. (7 Down + 22 Across)/2
4. 8 Across x 27 Down
5. (18 Across + 29 Down)/4 Down
6. (27 Down + 29 Down)/2
7. 10 Down + 2 x 3 Across
8. 3 Across + 28 Across + 29 Down
9. Prime
10. 6 Across + 2 x 8 Across
11. 21 Down + 2 x 6 Down
12. 1 Across + 15 Down
13. 1 Across + 26 Across
14. 2 Down + 5 Down + 16 Across
15. 18 Down – 11 Down
16. 4 Down x 24 Down/3
17. 3 Across + 12 Across
18. Prime
19. Prime

Grand Prize Winners

Congratulations to Bob Virgalla of Ultratech Stepper (Sandy Hook, Conn.) for solving The Sports Card Exchange, and to Lamar Kirchhevel of Alcon Labs (Irvine, Calif.) for solving CrossNumber 78!

Solutions to October’s Puzzles

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CrossNumber 78

The Sports Card Exchange
Answer: Alf 7, Ben 11 and Chuck 21.
Solution: Let Alf, Ben and Chuck have X, Y and Z cards.

From the clues:
2(Y – 6 + 1) = (X + 6 – 1); 2Y – X = 15 (Eq 1)
3(Z – 14 + 1) = Y + 14 – 1; 3Z – Y = 52 (Eq 2)
6(X – 4 + 1) = Z + 4 – 1; 6X – Z = 21 (Eq 3)
Eq 1 x 18 + Eq 2 + 3 x Eq 3 gives us 35Y = 385; thus, Y = 11.

Solutions to the European Soccer Scores Challenge and CrossNumber 80 may be found online at www.apmag.com at the end of the month.

Contest Rules: All entries must be received by December 31, 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.