Malaysia and Mexico took part in Youth Games. From Malaysia, the ratio of the number of male supporters to the number of female supporters was 1 : 10. From Mexico, the ratio of the number of male supporters to the number of female supporters was 4 : 5. The total number of supporters from Malaysia was ¹¹₂₇ the total number of supporters from Mexico.

1. What was the ratio of the number of male supporters from Malaysia to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 56 male supporters from both countries left the games, the percentage of all the female supporters became 75%. How many more female supporters from Mexico than Malaysia were there at first?

Malaysia		Mexico
11 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
1	10	4x3	5x3
1 u	10 u	12 u	15 u

(a)
Number of male supporters from Mexico
= ⁴₉ x 27 u
= 12 u

Number of female supporters from Malaysia
= ⁵₉ x 27 u
= 15 u

Total number of male supporters
= 1 u + 12 u
= 13 u

Male supporters from Malaysia : Total male supporters
1 : 13

(b)

	Male supporters	Female supporters
Before	13x3 = 39%	25x3 = 75%
Change	- 56
After	25%	75%

Number of male supporters in the end in percent
= 100% - 75%
= 25%

Total number of female supporters at first
= 10 u + 15 u
= 25 u

After 56 male supporters from both countries left the games, the percentage of all the female supporters became 75%.

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

25 u = 75%

1 u = 75% ÷ 25 = 3%

Number of male supporters at first in percent
= 13 x 3%
= 39%

Number of male supporters from both countries who left
= 39% - 25%
= 14%

14% = 56 

1% = 56 ÷ 14 = 4

Number of more female supporters from Mexico than Malaysia at first
= 15 u - 10 u
= 5 u
= 5 x 3%
= 15%
= 15 x 4
= 60 

Answer(s): (a) 1 : 13; (b) 60