You're at a country fair, and you stumble across a game with four baskets. The four baskets cover four fruits: an apple, a pear, a peach, and an orange. The game is to guess which fruits are under which baskets. At the end of the day, the game runner will reveal the fruits. However, by the end of the day, there is a huge crowd and you cannot see the winners. However, you hear from snippets of conversation that there was twice as many people who got two fruits correct than those who got them all correct. If there were 30 people who guessed the fruits and guessed at least one right, and nine of them got only one correct, how many people got them all correct?
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The key realization here is that getting 3 correct is impossible.
9 + x + 2x = 30
3x = 21
x = 7