Zambia and India took part in Youth Games. From Zambia, the ratio of the number of female supporters to the number of male supporters was 1 : 4. From India, the ratio of the number of female supporters to the number of male supporters was 1 : 2. The total number of supporters from Zambia was ⁵₂₇ the total number of supporters from India.

1. What was the ratio of the number of female supporters from Zambia to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 8 female supporters from both countries joined the games, the percentage of all the male supporters became 66%. How many less male supporters from Zambia than India were there at first?

Zambia		India
5 u		27 u
Female supporters	Male supporters	Female supporters	Male supporters
1	4	1x3	2x3
1 u	4 u	9 u	18 u

(a)
Number of female supporters from India
= ¹₃ x 27 u
= 9 u

Number of male supporters from Zambia
= ²₃ x 27 u
= 18 u

Total number of female supporters
= 1 u + 9 u
= 10 u

Female supporters from Zambia : Total female supporters
1 : 10

(b)

	Female supporters	Male supporters
Before	10x3 = 30%	22x3 = 66%
Change	+ 8
After	34%	66%

Number of female supporters in the end in percent
= 100% - 66%
= 34%

Total number of male supporters at first
= 4 u + 18 u
= 22 u

After another 8 female supporters from both countries joined the games, the percentage of all the male supporters became 66%.

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

22 u = 66%

1 u = 66% ÷ 22 = 3%

Number of female supporters at first in percent
= 10 x 3%
= 30%

Number of female supporters from both countries who joined the games
= 34% - 30%
= 4%

4% = 8 

1% = 8 ÷ 4 = 2

Number of less male supporters from Zambia than India at first
= 18 u - 4 u
= 14 u
= 14 x 3%
= 42%
= 42 x 2
= 84 

Answer(s): (a) 1 : 10; (b) 84