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MATH / At a school, all 60 students play on at least one of three teams: Basketball,…

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problem

At a school, all 60 students play on at least one of three teams: Basketball, Soccer, and Mathletics. 8 students play all three sports, half the students play basketball, and the ratio of the size of the math team to the size of the basketball team to the size of the soccer team is 4:3:24:3:2. How many students at the school play on exactly two teams?
Plain-text mathematical notation (without MathML)
At a school, all 60 students play on at least one of three teams: Basketball, Soccer, and Mathletics. 8 students play all three sports, half the students play basketball, and the ratio of the size of the math team to the size of the basketball team to the size of the soccer team is 4:3:2. How many students at the school play on exactly two teams?
Original LaTeX notation
At a school, all 60 students play on at least one of three teams: Basketball, Soccer, and Mathletics. 8 students play all three sports, half the students play basketball, and the ratio of the size of the math team to the size of the basketball team to the size of the soccer team is $4:3:2$. How many students at the school play on exactly two teams?

level

Level 5

type

Counting & Probability

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