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A UNIQUE BLEND OF A TRADITIONAL ESCAPE ROOM AND A CHALLENGING SCAVENGER HUNT BUY GIFT CERTIFICATES

Puzzle of the Week

Puzzle #134

  February 6, 2019

Congrats to the winners of Puzzle #133
N/A (Buffalo), Anthony S. (Royal Oak), Kevin W. (Grand Rapids), Mike (Rochester), Dave N. (Orlando), Danielle H. (Tampa), Bryan S. (Jacksonville), Megan N. (Chicago), Jared D. (Providence), Mike (Akron), Dayan M. (Maimi), N/A (Washington D.C.), and Cheryl S. (Pittsburgh).

The answer to Puzzle #133 was:
There were a total of 24 members in the club. Total number of members the club originally had = x The total amount that will be spent on repairs=$2040 Let the sum paid by each member = y Therefore, xy=$ 2040? y=2040/x Since 4 members chose to resign, leaving the remaining members to pay extra $17 each, this means (x-4)(y+17)=2040 i.e. xy+17x-4y-68=xy ? 17x -4y=68 17x-4(2040/x)=68 17x^2-8160=68x 17x^2-68x=8160 17(x^2-4x)=8160 x^2-4x=480 (coefficient of x^2 is 1 and the coefficient of x is 4) Finding 2 factors of 480 whose sum equals the coefficient of the middle term, which is 4. We find x=24 and x=20 (24)^2-4(24) = 480 576-96-480=0 , LHS=RHS. Hence, x=24.

Puzzle #134: Have Fun Counting the Relatives!
Holmes, Miss Kutcher and Dr Jane were having lunch together. Miss Kutcher, very talkative, kept telling about her family back home as three of them ate. Just then, Jane asked Kutcher about the number of brothers and sisters she has. She quickly replied that in her family each female has an equal number of sisters and brothers, however, each boy has twice as many as sisters as brothers. While Jane got extremely confused, witty Holmes was able to tell just exactly how many girls and boys were in Miss Kutcher's family. Can you tell the answer?

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