Maldives and Scotland took part in Youth Games. From Maldives, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Scotland, the ratio of the number of female supporters to the number of male supporters was 4 : 7. The total number of supporters from Maldives was ⁷₂₂ the total number of supporters from Scotland.

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 80%. How many more male supporters from Scotland than Maldives were there at first?

Maldives		Scotland
7 u		22 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	4x2	7x2
1 u	6 u	8 u	14 u

(a)
Number of female supporters from Scotland
= ⁴₁₁ x 22 u
= 8 u

Number of male supporters from Maldives
= ⁷₁₁ x 22 u
= 14 u

Total number of female supporters
= 1 u + 8 u
= 9 u

Female supporters from Maldives : Total female supporters
1 : 9

(b)

	Female supporters	Male supporters
Before	9x4 = 36%	20x4 = 80%
Change	- 48
After	20%	80%

Number of female supporters in the end in percent
= 100% - 80%
= 20%

Total number of male supporters at first
= 6 u + 14 u
= 20 u

After 48 female supporters from both countries left the games, the percentage of all the male supporters became 80%.

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

20 u = 80%

1 u = 80% ÷ 20 = 4%

Number of female supporters at first in percent
= 9 x 4%
= 36%

Number of female supporters from both countries who left
= 36% - 20%
= 16%

16% = 48 

1% = 48 ÷ 16 = 3

Number of more male supporters from Scotland than Maldives at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 3
= 96 

Answer(s): (a) 1 : 9; (b) 96