Mexico and Zambia took part in Youth Games. From Mexico, the ratio of the number of male supporters to the number of female supporters was 3 : 8. From Zambia, the ratio of the number of male supporters to the number of female supporters was 1 : 5. The total number of supporters from Mexico was ¹¹₂₄ the total number of supporters from Zambia.

1. What was the ratio of the number of male supporters from Mexico to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 30 male supporters from both countries left the games, the percentage of all the female supporters became 84%. How many more female supporters from Zambia than Mexico were there at first?

Mexico		Zambia
11 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
3	8	1x2	5x2
3 u	8 u	4 u	20 u

(a)
Number of male supporters from Zambia
= ¹₆ x 24 u
= 4 u

Number of female supporters from Mexico
= ⁵₆ x 24 u
= 20 u

Total number of male supporters
= 3 u + 4 u
= 7 u

Male supporters from Mexico : Total male supporters
3 : 7

(b)

	Male supporters	Female supporters
Before	7x3 = 21%	28x3 = 84%
Change	- 30
After	16%	84%

Number of male supporters in the end in percent
= 100% - 84%
= 16%

Total number of female supporters at first
= 8 u + 20 u
= 28 u

After 30 male supporters from both countries left the games, the percentage of all the female supporters became 84%.

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

28 u = 84%

1 u = 84% ÷ 28 = 3%

Number of male supporters at first in percent
= 7 x 3%
= 21%

Number of male supporters from both countries who left
= 21% - 16%
= 5%

5% = 30 

1% = 30 ÷ 5 = 6

Number of more female supporters from Zambia than Mexico at first
= 20 u - 8 u
= 12 u
= 12 x 3%
= 36%
= 36 x 6
= 216 

Answer(s): (a) 3 : 7; (b) 216