Maldives and Scotland took part in Youth Games. From Maldives, the ratio of the number of male supporters to the number of female supporters was 3 : 8. From Scotland, the ratio of the number of male supporters to the number of female supporters was 4 : 5. The total number of supporters from Maldives was ¹¹₁₈ the total number of supporters from Scotland.

1. What was the ratio of the number of male supporters from Maldives to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 117 male supporters from both countries joined the games, the percentage of all the female supporters became 54%. How many less female supporters from Maldives than Scotland were there at first?

Maldives		Scotland
11 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
3	8	4x2	5x2
3 u	8 u	8 u	10 u

(a)
Number of male supporters from Scotland
= ⁴₉ x 18 u
= 8 u

Number of female supporters from Maldives
= ⁵₉ x 18 u
= 10 u

Total number of male supporters
= 3 u + 8 u
= 11 u

Male supporters from Maldives : Total male supporters
3 : 11

(b)

	Male supporters	Female supporters
Before	11x3 = 33%	18x3 = 54%
Change	+ 117
After	46%	54%

Number of male supporters in the end in percent
= 100% - 54%
= 46%

Total number of female supporters at first
= 8 u + 10 u
= 18 u

After another 117 male supporters from both countries joined the games, the percentage of all the female supporters became 54%.

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

18 u = 54%

1 u = 54% ÷ 18 = 3%

Number of male supporters at first in percent
= 11 x 3%
= 33%

Number of male supporters from both countries who joined the games
= 46% - 33%
= 13%

13% = 117 

1% = 117 ÷ 13 = 9

Number of less female supporters from Maldives than Scotland at first
= 10 u - 8 u
= 2 u
= 2 x 3%
= 6%
= 6 x 9
= 54 

Answer(s): (a) 3 : 11; (b) 54