Malaysia and Fiji took part in Youth Games. From Malaysia, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Fiji, the ratio of the number of female supporters to the number of male supporters was 3 : 8. The total number of supporters from Malaysia was ⁷₂₂ the total number of supporters from Fiji.

1. What was the ratio of the number of female supporters from Malaysia to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 176 female supporters from both countries left the games, the percentage of all the male supporters became 88%. How many more male supporters from Fiji than Malaysia were there at first?

Malaysia		Fiji
7 u		22 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	3x2	8x2
1 u	6 u	6 u	16 u

(a)
Number of female supporters from Fiji
= ³₁₁ x 22 u
= 6 u

Number of male supporters from Malaysia
= ⁸₁₁ x 22 u
= 16 u

Total number of female supporters
= 1 u + 6 u
= 7 u

Female supporters from Malaysia : Total female supporters
1 : 7

(b)

	Female supporters	Male supporters
Before	7x4 = 28%	22x4 = 88%
Change	- 176
After	12%	88%

Number of female supporters in the end in percent
= 100% - 88%
= 12%

Total number of male supporters at first
= 6 u + 16 u
= 22 u

After 176 female supporters from both countries left the games, the percentage of all the male supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

Number of female supporters at first in percent
= 7 x 4%
= 28%

Number of female supporters from both countries who left
= 28% - 12%
= 16%

16% = 176 

1% = 176 ÷ 16 = 11

Number of more male supporters from Fiji than Malaysia at first
= 16 u - 6 u
= 10 u
= 10 x 4%
= 40%
= 40 x 11
= 440 

Answer(s): (a) 1 : 7; (b) 440