Susan and Lisa decided to play tennis against each other. They bet $1 on each game they played. Susan won three bets and Lisa won $5. How many games did they play?
Common Wrong Answers
“8”
If they played 8 games, Lisa would have lost 3 and would have needed to win 3 more to break even, resulting in 6 games played. However, she also needs to win 5 additional games to have a net profit, which would require at least 11 games.
“10”
If they played 10 games, Lisa would win only 7 games (because she lost 3), which means she wouldn't have enough wins to end up with a profit of $5 after losing 3 games. Thus, 10 games does not satisfy the conditions of the riddle.
“12”
If they played 12 games, Lisa winning 7 would mean she would actually lose more than she wins, resulting in a net loss rather than the stated profit of $5. The total needs to account for her necessary wins beyond breaking even.
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