Dear Math Central,
Please help with the following problem. This is an Honors Algebra Class and my daughter is in the eighth grade. Not sure how to set problem up.

Tick-tac-toe
Sasha and Trudy are playing tick-tac-toe. Sasha agrees to give trudy
two pieces of candy for each game Sasha loses, and Trudy agrees to
give Sasha three pieces of candy for each game that Trudy loses.
After playing thirty games, Sasha has the amount of candy that he
started with. If no ties occurred, how many games did Sasha win?

  
 

 

Hi Pat,

I would let w the number of times that Sasha won.
Then, Sasha lost 30-w times (since no ties).
So, Sasha gains 3w candies, and loses 2(30-w) candies.

Paul

  
 

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