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Solution Puzzle L-6.  PARTY FOOD

Mrs. Brown, Mrs. Scarlet, Mrs. Smith, and Mrs. Jones went to a party.  They wore red, blue, yellow, and green dress, but not necessarily in the respective order.  Each of them brought with them one of the following:  cake, ice cream, potato chips, and cookies.

To solve this puzzle, create a table below with Y representing yes, and X representing no.

The lady wearing red brought the cookies.

  cake ice cream potato chips cookies
red X X X Y
blue       X
yellow       X
green       X

Mrs. Scarlet wore blue dress.

 

red

blue

yellow

green

Brown

 

X

 

 

Scarlet

X

Y

X

X

Smith

 

X

 

 

Jones

 

X

 

 

Mrs. Jones brought the cake.  Mrs. Smith did not bring the cookies.  We also knew Mrs. Scarlet who was not wearing red did not brought the cookies.

 

cake

ice cream

potato chips

cookies

Brown

X

 

 

 

Scarlet

X

 

 

X

Smith

X

 

 

X

Jones

Y

X

X

X

Therefore, conclude that Mrs. Brown brought the cookies.

 

cake

ice cream

potato chips

cookies

Brown

X

X

X

Y

Scarlet

X

 

 

X

Smith

X

 

 

X

Jones

Y

X

X

X

Therefore we also conclude that Mrs. Brown was wearing red. 

 

red

blue

yellow

green

Brown

Y

X

X

X

Scarlet

X

Y

X

X

Smith

X

X

 

 

Jones

X

X

 

 

The lady wearing yellow brought the ice cream.

 

cake

ice cream

potato chips

cookies

red

X

X

X

Y

blue

 

X

 

X

yellow

X

Y

X

X

green

 

X

 

X

Mrs. Smith did not wear green.  Therefore we conclude that she was wearing yellow and Mrs. Jones was wearing green.

 

red

blue

yellow

green

Brown

Y

X

X

X

Scarlet

X

Y

X

X

Smith

X

X

Y

X

Jones

X

X

X

Y

Since Mrs. Jones, who wore green, brought the cake, we have

 

cake

ice cream

potato chips

cookies

red

X

X

X

Y

blue

X

X

 

X

yellow

X

Y

X

X

green

Y

X

X

X

Therefore, from the tables we also conclude that the person wearing blue, who was Mrs. Scarlet brought the potato chips.

To summarize, we concluded that:

Mrs. Jones wore green and brought the cake.

Mrs. Scarlet wore blue and brought the potato chips.

Mrs. Brown wore red and brought the cookies.

Mrs. Smith wore yellow and brought the ice cream.

 

 

 

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Bits and Beyond...

PRIME NUMBERS

Prime numbers have captured the hearts of many mathematicians for centuries.  During 18th century, mathematician Christian Goldbach (1690-1764) wrote to Leonhard Euler that he believed it could be shown that every even integer greater than 2 is the sum of 2 primes.  For example, 30 = 23+7 and  36 = 13+23.  Until now, this conjecture has neither been proved or disproved.

 

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