In annual sports 20% of the students took part in 100m race. 15% of the dents in 200m sprint and 10% of the students took part in the long jump eve 5% of the students took part in these three events. Let's work out the numbe the students who did not take part in any of the events if the total number students of the school were 780.
Answers
Answer:
390
Step-by-step explanation:
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Question~
In annual sports, 20% of the students took part in a 100 m race. 15% of the students in 200m sprint and 10% of the students took part in the long jump event 5% of the students took part in these three events. Let's work out the number of the students who did not take part in any of the events if the total number of students of the school were 780.
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Given :
- 100 m race = 20%
- Sprint race = 15%
- Long Jump = 10%
- All events = 5%
- Total number of students = 780
To find :
- number the students who did not take part in any of the events
Solution :
⇒ Let's find the number of students who have taken part in each sport.
→ 100 m race = 20/100 × 780
= 20 × 780/100
= 15600/100
= 156
→ Sprint race = 15/100 × 780
= 15 × 780/100
= 11700/100
= 117
→ Long jump = 10/100 × 780
= 10 × 780/100
= 7800/100
= 78
→ All events = 5/100 × 780
= 5 × 780/100
= 3900/100
= 39
⇒ Now, let's find the number of students who have not participated. Let the number of students who have not participated be x.
780 = 156 + 117 + 78 + 39 + x
780 = 390 + x
x = 780 - 390
x = 390
- Therefore, 390 students have not participated.