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There are 100 athletes and three different seasons when sports are offered: soccer in the fall, basketball in the winter, and baseball in the spring. Some of the athletes play only one sport, some play two sports, and some play all three. Forty people play soccer. If 15 play all three sports, five play basketball and soccer but no baseball, and 10 play soccer only, how many people play both baseball and soccer?

 

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 Apr 8, 2016

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10 people. Because take the 40 people who play soccer and possibly other sports, subtract 15 people who play all, subtract 5 people who play only basketball and soccer, subtract 10 people who only play soccer, with ten left who have to play only both baseball and soccer.

 Apr 8, 2016

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