September 2009 Answers:

9 1 8 4 2 3 6 7 5
3 4 2 7 5 6 9 1 8
6 7 5 1 8 9 3 4 2
7 8 6 2 9 1 4 5 3
1 2 9 5 3 4 7 8 6
4 5 3 8 6 7 1 2 9
2 3 1 6 4 5 8 9 7
5 6 4 9 7 8 2 3 1
8 9 7 3 1 2 5 6 4
   
 

Their were 12 people at the party.

With two people (A and B),
there is one handshake
   (A with B).

With three people (A, B, and C),
there are three handshakes
  (A with B and C;   B with C).

With four people (A, B, C, and D),
there are six handshakes
  (A with B, C, and D;   B with C and D;   C with D).

In general, with n+1 people,
the number of handshakes is the
sum of the first n consecutive numbers:
1+2+3+ ... + n.

Since this sum is n(n+1)/2,
we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number,
you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc.
until the total is 66.
The last number that you entered (11) is n.

 

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August 2009 Answers:
 

7

6

8

3

5

4

2

1

9

4

3

5

9

2

1

8

7

6

1

9

2

6

8

7

5

4

3

9

8

1

5

7

6

4

3

2

6

5

7

2

4

3

1

9

8

3

2

4

8

1

9

7

6

5

2

1

3

7

9

8

6

5

4

8

7

9

4

6

5

3

2

1

5

4

6

1

3

2

9

8

7

 

2

5

8

6

9

3

7

1

4

1

4

7

5

8

2

6

9

3

3

6

9

7

1

4

8

2

5

8

2

5

3

6

9

4

7

1

7

 1

4

2

5

8

3

6

9

9

3 

6

4

7

1

5

8

2

6

9

3

1

4

7

2

5

8

5

8

2

9

3

6

1

4

7

4

7

1

8

2

5

9

3

6

 

  
     
 

May 2009 Answer:

1) IN
2) WIN
3) WING
4) SWING
5) SEWING
6) STEWING

 

  
April 2009 answers  
6 4 8 2 3 9 5 7 1
9 1 2 7 5 4 6 8 3
5 3 7 1 6 8 4 2 9
2 5 9 6 8 3 7 1 4
8 6 4 9 1 7 2 3 5
3 7 1 5 4 2 9 6 8
1 9 6 3 7 5 8 4 2
7 8 5 4 2 1 3 9 6
4 2 3 8 9 6 1 5 7

 

  March 2009 - crossword puzzle answers
  ACROSS
1. - To have a positive attitude you must first make all your thoughts happy
3. - The Forth leaf on a clover is for luck.
5. - Video communication can increase productivity.
7. - Concentrated solar power is called solar thermal.
9. - Color of the Chicago River on March 17th - green
11. - The capital of Ireland - Dublin
12. - Video communication can save your company money.
13. - Solar power is clean power
   
  DOWN
2. - Solar power is produced by using what kind of cells. - Photovoltaic
3. - A kind of aqueous sprite - Lephrechaun
4. - The second leaf on a clover is for faith.
6. - The third color of the Irish flag - orange
8. - Negative thoughts imply need.
10. - You can watch TV on your laptop with a USB tunner stick.
   

 

February 2009 - answers
 
1 4 5 8 7 2 9 6 3
3 2 6 9 4 5 1 8 7
9 8 7 6 3 1 4 2 5
7 1 4 2 8 9 5 3 6
6 5 3 4 1 7 2 9 8
8 9 2 5 6 3 7 1 4
2 3 9 7 5 8 6 4 1
5 6 8 1 2 4 3 7 9
4 7 1 3 9 6 8 5 2

 

January 2009 word search answers

A V E B H C D M F M I D N I G H T B U A H
X K A O E O A O R U W C E L E B R A T E Y
A Y R F E J O L I N N O Y T T F E L T A P
H N P I N T C H E E R H J M W P S L H D Y
S O S A B R T E N N P W F I R E W O R K S
A F Y A E A T D D S D M P E F M N O O T S
W N L F N D S P S O R A A T D E S N U O N
S L E I Y I N A D O S H R Y N M D S E A H
A M F A W T B R F O N P T P H O L I D A Y
T O I P O I H A W T J G Y S N R M E F T N
S W E A S O D D R E S O L U T I O N N O A
O M S C O N F E T T I O T A W E Y A W M S
Y T U A T S T R E A M E R S F S J T H A O
   
 

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