India and Vietnam took part in Youth Games. From India, the ratio of the number of female supporters to the number of male supporters was 3 : 2. From Vietnam, the ratio of the number of female supporters to the number of male supporters was 1 : 7. The total number of supporters from India was ⁵₁₆ the total number of supporters from Vietnam.

1. What was the ratio of the number of female supporters from India to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 222 female supporters from both countries joined the games, the percentage of all the male supporters became 48%. How many less male supporters from India than Vietnam were there at first?

India		Vietnam
5 u		16 u
Female supporters	Male supporters	Female supporters	Male supporters
3	2	1x2	7x2
3 u	2 u	2 u	14 u

(a)
Number of female supporters from Vietnam
= ¹₈ x 16 u
= 2 u

Number of male supporters from India
= ⁷₈ x 16 u
= 14 u

Total number of female supporters
= 3 u + 2 u
= 5 u

Female supporters from India : Total female supporters
3 : 5

(b)

	Female supporters	Male supporters
Before	5x3 = 15%	16x3 = 48%
Change	+ 222
After	52%	48%

Number of female supporters in the end in percent
= 100% - 48%
= 52%

Total number of male supporters at first
= 2 u + 14 u
= 16 u

After another 222 female supporters from both countries joined the games, the percentage of all the male supporters became 48%.

Since only more female supporters joined the games, the number of male supporters remains unchanged. Make the number of male supporters the same.

16 u = 48%

1 u = 48% ÷ 16 = 3%

Number of female supporters at first in percent
= 5 x 3%
= 15%

Number of female supporters from both countries who joined the games
= 52% - 15%
= 37%

37% = 222 

1% = 222 ÷ 37 = 6

Number of less male supporters from India than Vietnam at first
= 14 u - 2 u
= 12 u
= 12 x 3%
= 36%
= 36 x 6
= 216 

Answer(s): (a) 3 : 5; (b) 216