Zambia and Chile took part in Youth Games. From Zambia, the ratio of the number of male supporters to the number of female supporters was 1 : 10. From Chile, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Zambia was ¹¹₂₄ the total number of supporters from Chile.

1. What was the ratio of the number of male supporters from Zambia to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 20 male supporters from both countries left the games, the percentage of all the female supporters became 78%. How many more female supporters from Chile than Zambia were there at first?

Zambia		Chile
11 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
1	10	1x2	2x2
1 u	10 u	8 u	16 u

(a)
Number of male supporters from Chile
= ¹₃ x 24 u
= 8 u

Number of female supporters from Zambia
= ²₃ x 24 u
= 16 u

Total number of male supporters
= 1 u + 8 u
= 9 u

Male supporters from Zambia : Total male supporters
1 : 9

(b)

	Male supporters	Female supporters
Before	9x3 = 27%	26x3 = 78%
Change	- 20
After	22%	78%

Number of male supporters in the end in percent
= 100% - 78%
= 22%

Total number of female supporters at first
= 10 u + 16 u
= 26 u

After 20 male supporters from both countries left the games, the percentage of all the female supporters became 78%.

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

26 u = 78%

1 u = 78% ÷ 26 = 3%

Number of male supporters at first in percent
= 9 x 3%
= 27%

Number of male supporters from both countries who left
= 27% - 22%
= 5%

5% = 20 

1% = 20 ÷ 5 = 4

Number of more female supporters from Chile than Zambia at first
= 16 u - 10 u
= 6 u
= 6 x 3%
= 18%
= 18 x 4
= 72 

Answer(s): (a) 1 : 9; (b) 72