Denmark and Jordan took part in Youth Games. From Denmark, the ratio of the number of female supporters to the number of male supporters was 1 : 9. From Jordan, the ratio of the number of female supporters to the number of male supporters was 3 : 4. The total number of supporters from Denmark was ¹⁰₂₁ the total number of supporters from Jordan.

1. What was the ratio of the number of female supporters from Denmark to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 288 female supporters from both countries left the games, the percentage of all the male supporters became 84%. How many more male supporters from Jordan than Denmark were there at first?

Denmark		Jordan
10 u		21 u
Female supporters	Male supporters	Female supporters	Male supporters
1	9	3x3	4x3
1 u	9 u	9 u	12 u

(a)
Number of female supporters from Jordan
= ³₇ x 21 u
= 9 u

Number of male supporters from Denmark
= ⁴₇ x 21 u
= 12 u

Total number of female supporters
= 1 u + 9 u
= 10 u

Female supporters from Denmark : Total female supporters
1 : 10

(b)

	Female supporters	Male supporters
Before	10x4 = 40%	21x4 = 84%
Change	- 288
After	16%	84%

Number of female supporters in the end in percent
= 100% - 84%
= 16%

Total number of male supporters at first
= 9 u + 12 u
= 21 u

After 288 female supporters from both countries left the games, the percentage of all the male supporters became 84%.

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

21 u = 84%

1 u = 84% ÷ 21 = 4%

Number of female supporters at first in percent
= 10 x 4%
= 40%

Number of female supporters from both countries who left
= 40% - 16%
= 24%

24% = 288 

1% = 288 ÷ 24 = 12

Number of more male supporters from Jordan than Denmark at first
= 12 u - 9 u
= 3 u
= 3 x 4%
= 12%
= 12 x 12
= 144 

Answer(s): (a) 1 : 10; (b) 144