Maldives and Norway took part in Youth Games. From Maldives, the ratio of the number of female supporters to the number of male supporters was 3 : 4. From Norway, the ratio of the number of female supporters to the number of male supporters was 1 : 9. The total number of supporters from Maldives was ⁷₂₀ the total number of supporters from Norway.

1. What was the ratio of the number of female supporters from Maldives to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 48 female supporters from both countries left the games, the percentage of all the male supporters became 88%. How many more male supporters from Norway than Maldives were there at first?

Maldives		Norway
7 u		20 u
Female supporters	Male supporters	Female supporters	Male supporters
3	4	1x2	9x2
3 u	4 u	2 u	18 u

(a)
Number of female supporters from Norway
= ¹₁₀ x 20 u
= 2 u

Number of male supporters from Maldives
= ⁹₁₀ x 20 u
= 18 u

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

Female supporters from Maldives : Total female supporters
3 : 5

(b)

	Female supporters	Male supporters
Before	5x4 = 20%	22x4 = 88%
Change	- 48
After	12%	88%

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

Total number of male supporters at first
= 4 u + 18 u
= 22 u

After 48 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
= 5 x 4%
= 20%

Number of female supporters from both countries who left
= 20% - 12%
= 8%

8% = 48 

1% = 48 ÷ 8 = 6

Number of more male supporters from Norway than Maldives at first
= 18 u - 4 u
= 14 u
= 14 x 4%
= 56%
= 56 x 6
= 336 

Answer(s): (a) 3 : 5; (b) 336