Question

In a sports academy of 300 people, 105 play only cricket, 70 play only hockey, 50 play

only football, 25 play both cricket and hockey, 15 play both hockey and football and 30

play both cricket and football. The rest of them play all three sports. What is the percentage

of people who play at least two sports?​

Answer 1

Answer:

25

Step-by-step explanation:

300-(105+70+50)

75

percentage of people who play at least 2 sports are (75/300)*100=25

Answer 2

25% of people play at least two sports.

Step-by-step explanation:

Total number of people = 300

Play only cricket = 105

Play only hockey = 70

Play only football = 50

Play both cricket and hockey = 25

Play both hockey and football = 15

Play both cricket and football = 30

The rest of them play all three sports.

All three games = $300-(105+70+50+25+15+30)=300-295=5$

Number of people who play at least two sports is

$25+15+30+5=75$

The percentage of people who play at least two sports

Percentage$=\frac{\text{Number of people who play at least two sports}}{\text{Total people}}\times 100$

                   $=\frac{75}{300}\times 100$

                   $=25$

Therefore, 25% of people play at least two sports.

#Learn more

In a higher secondary class, 66 plays football, 56 plays hockey, 63 plays cricket, 27 play both football and hockey, 25 plays hockey and cricket, 23 plays cricket and football and 5 do not play any game. if the strength of class is 130. Calculate

(i) the number who play only two games

(ii) the number who play only football

(iii) number of student who play all the three games

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