一道英语数学题There are 50 students in Wuhan Foreign Languages Scho

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一道英语数学题
There are 50 students in Wuhan Foreign Languages School who play on the baseball,football,and tennis teams.Some students play more than one sport.If 15 play tennis,25 play baseball,30 play football,8 play tennis and baseball,5 play tennis and football,and 10 play baseball and football,now determine how many students play all three sports.

题意是：武汉外国语学校共有50名学生参与棒球(b)、足球(f)和网球(t)队.一些学生参与不只1项体育项目.如果15人参与网球(t),25人参与棒球(b),30人参与足球(f),8人同时参与网球和棒球(t+b),5人同时参与网球和足球(t+f),10人同时参与棒球和足球(b+f),那么问有多少学生同时参与三项体育项目（t+b+f）? 公式如1楼所说,简单易懂的方法是：因为：t:15, b:25, f:30,t+b:8, t+f:5, b+f:10,所以：设t+b+f（三项都参与）x人,根据题意则有图示的人数分布情况,所有区的人数相加为50,有：(2+x)+(15+x)+(7+x)+(5-x)+(10-x)+(8-x)+x=5024+3x+23-3x+x=50, 所以x=3.答案：3人.

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