At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break 16 participants left and 6 more female participants registered. The ratio of the male to the female participants become 2 : 1. What was the total number of participants at the start of the seminar ?
Answers
Given : At a start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break 16 participants left and 6 more female participants registered. The ratio of the male to the female participants now became 2:1.
To find : What was the total number of participants at the start of the seminar
Solution:
At a start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1.
Males = 3M
Females = M
Total = 4M
During the tea break 16 participants left and 6 more female participants registered
=> Total = 4M - 6 + 16 = 4M - 10
in 16 Left
Females left = F then Males left = 16 - F
=> F ≤ M
Males Left = 3M - (16-F) = 3M + F - 16
Females Now = M - F + 6
The ratio of the male to the female participants now became 2:1.
(3M + F - 16 ) / (M - F + 6 ) = 2/1
=> 3M + F - 16 = 2M - 2F + 12
=> M + 3F = 28
M + 3F = 28
M = 7 , 10 , 13 , 16 , 19 , 22 , 25 , 28
total number of participants at the start of the seminar = 4M
28 , 40 , 52 , 64 , 76 , 88 , 100 , 112
For complete question : https://brainly.in/question/17198550
out of given option 64 is the only answer
64 is the total number of participants at the start of the seminar
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Answer
64
Step-by-step explanation:
16 Participants= 12 male and 4 female
3X-12:X+2