Fiji and Thailand took part in Youth Games. From Fiji, the ratio of the number of male supporters to the number of female supporters was 3 : 10. From Thailand, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Fiji was ¹³₁₈ the total number of supporters from Thailand.

1. What was the ratio of the number of male supporters from Fiji to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 152 male supporters from both countries joined the games, the percentage of all the female supporters became 52%. How many less female supporters from Fiji than Thailand were there at first?

Fiji		Thailand
13 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
3	10	1x2	8x2
3 u	10 u	2 u	16 u

(a)
Number of male supporters from Thailand
= ¹₉ x 18 u
= 2 u

Number of female supporters from Fiji
= ⁸₉ x 18 u
= 16 u

Total number of male supporters
= 3 u + 2 u
= 5 u

Male supporters from Fiji : Total male supporters
3 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	26x2 = 52%
Change	+ 152
After	48%	52%

Number of male supporters in the end in percent
= 100% - 52%
= 48%

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

After another 152 male supporters from both countries joined the games, the percentage of all the female supporters became 52%.

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

26 u = 52%

1 u = 52% ÷ 26 = 2%

Number of male supporters at first in percent
= 5 x 2%
= 10%

Number of male supporters from both countries who joined the games
= 48% - 10%
= 38%

38% = 152 

1% = 152 ÷ 38 = 4

Number of less female supporters from Fiji than Thailand at first
= 16 u - 10 u
= 6 u
= 6 x 2%
= 12%
= 12 x 4
= 48 

Answer(s): (a) 3 : 5; (b) 48