Logic

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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