Sender: Brittany

Please help me. Thanks.

Cheri, Beth and Jacinta are daughters of Mr. Sullivan, Mr. Marchand, and Mr. Benoit. Four of these people are playing tennis doubles. Mr. Benoit's daughter and Mr. Sullivan are partners. Cheri's father and Mr. Marchand's daughter are also partners. There aren't any father/daughter combinations. Who is Cheri's father?

Use a table to show your answer.

Thanks from Brittany

Hi Brittany,

I created a 3-by-3 table with one row for each father and one column for each daughter.

  Mr. Sullivan's
Daughter
Mr. Marchand's
Daughter
Mr. Benoit's
Daughter
Mr. Sullivan   
Mr. Marchand   
Mr. Benoit   

I am going to write yes in a cell if the two people who determine that cell are partners and no if they are not. First, no father and daughter are partners. Thus

  Mr. Sullivan's
Daughter
Mr. Marchand's
Daughter
Mr. Benoit's
Daughter
Mr. Sullivanno  
Mr. Marchand no 
Mr. Benoit  no

Next, since "Mr. Benoit's daughter and Mr. Sullivan are partners" I can add one yes.

  Mr. Sullivan's
Daughter
Mr. Marchand's
Daughter
Mr. Benoit's
Daughter
Mr. Sullivanno yes
Mr. Marchand no 
Mr. Benoit  no

Next, since I know who Mr. Benoit's daughter and Mr. Sullivan are partners with I can add two more no's.

  Mr. Sullivan's
Daughter
Mr. Marchand's
Daughter
Mr. Benoit's
Daughter
Mr. Sullivannonoyes
Mr. Marchand nono
Mr. Benoit  no

Finally, since "Cheri's father and Mr. Marchand's daughter are also partners" we know that Mr. Marchand's daughter is playing, and from the table we can see who is her only possible partner

  Mr. Sullivan's
Daughter
Mr. Marchand's
Daughter
Mr. Benoit's
Daughter
Mr. Sullivannonoyes
Mr. Marchand nono
Mr. Benoit yesno

Cheers,
Penny

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