how many are there in the competition

Given:

Ratio of Boys lớn Girls who participate in Dancing = 4 : 3

Bạn đang xem: how many are there in the competition

Ratio of Boys lớn Girls who participate in Singing = 8 : 13

Ratio of Boy lớn Girl who participates in both the events of Singing and Dancing = 2 : 1

Ratio of Boys lớn Girls who participate only in the Singing sự kiện = 1 : 2

participation of boys in the Dancing sự kiện alone is 10 more phàn nàn the Girls participation in Dancing alone

Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone

Concept:

Total participant in Dance = participate only in Dance + participate in both Dancing and Singing

Total participant in Singing = participate only in Singing + participate in both Dancing and Singing

Total participant in competition = participate only in Dance + participate in both Dancing and Singing + participate only in Singing

Calculation:

Let number of Girl participate only in khiêu vũ = x

So, Number of Boys participate only in khiêu vũ = x + 10

Number of Boys participate in both Dancing and Singing = (20/100) × (x + 10)

⇒ (x + 10)/5

Number of Girls participate in both Dancing and Singing = (1/2) × {(x + 10)/5}

⇒ (x + 10)/10

Number of Boys participate in dance/Number of girls participate in dance = 4/3

4/3 = {(x + 10) + (x + 10)/5}/{x + (x + 10)/10}

⇒ 2/3 = (6x + 60)/(11x + 10)

⇒ 18x + 180 = 22x + 20

⇒ 4x = 160

⇒ x = 40

Number of Girl participate only in khiêu vũ = 40

Number of Boys participate only in khiêu vũ = 40 + 10

⇒ 50

Number of Boys participate in both Dancing and Singing = (40 + 10)/5

⇒ 10

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Number of Girls participate in both Dancing and Singing = (40 + 10)/10

⇒ 5

Number of Boys participate in dance = 50 + 10

⇒ 60

Number of girls participate in dance = 40 + 5

⇒ 45

Number of Boys in singing/Number of Girls in singing = 8/13

8/13 = (10 + y)/(5 + 2y)

⇒ 40 + 16y = 130 + 13y

⇒ 3y = 90

⇒ nó = 30

Number of Boys in singing only = 30

Number of Girls in singing only = 2 × 30

⇒ 60

Number of Boys in singing = 30 + 10

⇒ 40

Number of Girls in singing = 60 + 5

⇒ 65

Total participant in competition = (50 + 40) +(10 + 5) + (30 + 60)

⇒ 90 + 15 + 90

⇒ 195

∴ Total 195 participants were there in the competition.

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IBPS Clerk Exam Dates Out! The Prelims Exam will be conducted on 24.08.2024, 25.08.2024, 31.08.2024 while the mains exam will be conducted on 13.10.2024. Candidates with a graduate degree are eligible for this post. The selection process includes prelims and mains examinations. Candidates must refer lớn the IBPS Clerk Previous Year Papers and IBPS Clerk Mock Test lớn understand what type of questions are asked in the exam and plan their preparation accordingly