In an inter-district tournament, 80% of the total number of students of an International school did not go for stadium to play football matches. The number of students who went to stadium for the football matches was 240 and they played 10 matches in one season. They won 40% of them.
Q) find the total no.of students
a) 240
b 1200
c 2400
d 100
Answers
Step-by-step explanation:
Twenty. There are 50 students, but 10 don’t play either sport, so 40 play either football, hockey or both (50–10=40). From the 40 players, 35 play football, so five play hockey only (40–35=5). Similarly, from the 40 players, 25 play hockey, so 15 play football only (40–25=15). So from the 40 players, 5 play hockey only, and 15 play football only, so 20 must play both sports. (40–5–15=20).
Let’s check and see if it all adds up: 10 students play neither sport, 5 students play only hockey, 15 students play only football, 20 students play both football and hockey. Total 10+5+15+20=50 students. Everyone is accounted for. In addition, 5 students play only hockey, and 20 play both sports, makes 25 hockey players (5+20=25). 15 students play only football, and 20 play both sports, makes 35 football players (15+20=35).
The total number of students at the international school = 1200.
Option (b) is the correct answer.
The total number of matches won by the school = 4.
Given:
- 80% of students did not go to football match.
- Number of students who went for the football match = 240.
- Total number of matches played = 10.
- Percentage of matches won = 40%
To find:
Total number of students
Step by step explanation:
Let x be the total number of students.
We know that the total number of students at the international school will always be equal to 100%.
Out of this 100%, the number of students who did not go for stadium to play football matches = 80%
∴ The number of students who went to stadium for the football match -
⇒ 100% - 80%
⇒ 20%
But it is given to us that the number of students who went to stadium for the match = 240.
⇒ 20% 0f (total number of students) = 240
⇒ 20% 0f x = 240
⇒ (20/100) *x = 240
⇒ x = (240 * 100)/20
⇒ x = 24000/20
⇒ x = 1200
∴ The total number of students at the international school = 1200.
Option (b) is the correct answer.
Total number of matches played = 10
Number of matches won = 40% of 10
= (40/100) * 10
= 4
∴ The total number of matches won by the school = 4.
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