ReaFam
16.09.2019 •
Mathematics
In a school of 405 pupils, a survey on sporting activities shows that 251 pupils play tennis, 157 play hockey, and 111 play softball. there are 45 pupils who play both tennis and hockey, 60 who play hockey and softball, and 39 who play tennis and softball. what conclusion may be drawn about the number
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Ответ:
Students who play tennis and hockey: 45 - x
Students who play hockey and softball: 60 - x
Students who play only tennis and softball: 39 - x
Students who only play tennis:
251 - 45 + x - 39 +x -x = x + 167
Students who only play hockey:
157 - x - 45 + x - 60 + x = x + 52
Students who only play softball:
111 - x - 60 + x - 39 + x = x + 12
The sum of all of these should be 405:
45-x+60-x+39-x+x+167+x+52+x+12 = 405
Solving for x,
x = 30
Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.
Ответ:
16
Step-by-step explanation:
3x-8=2x
x=8
QR=2*8=16