Oman and Denmark took part in Youth Games. From Oman, the ratio of the number of female supporters to the number of male supporters was 1 : 10. From Denmark, the ratio of the number of female supporters to the number of male supporters was 2 : 7. The total number of supporters from Oman was ¹¹₁₈ the total number of supporters from Denmark.

1. What was the ratio of the number of female supporters from Oman to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 143 female supporters from both countries joined the games, the percentage of all the male supporters became 72%. How many less male supporters from Oman than Denmark were there at first?

Oman		Denmark
11 u		18 u
Female supporters	Male supporters	Female supporters	Male supporters
1	10	2x2	7x2
1 u	10 u	4 u	14 u

(a)
Number of female supporters from Denmark
= ²₉ x 18 u
= 4 u

Number of male supporters from Oman
= ⁷₉ x 18 u
= 14 u

Total number of female supporters
= 1 u + 4 u
= 5 u

Female supporters from Oman : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x3 = 15%	24x3 = 72%
Change	+ 143
After	28%	72%

Number of female supporters in the end in percent
= 100% - 72%
= 28%

Total number of male supporters at first
= 10 u + 14 u
= 24 u

After another 143 female supporters from both countries joined the games, the percentage of all the male supporters became 72%.

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

24 u = 72%

1 u = 72% ÷ 24 = 3%

Number of female supporters at first in percent
= 5 x 3%
= 15%

Number of female supporters from both countries who joined the games
= 28% - 15%
= 13%

13% = 143 

1% = 143 ÷ 13 = 11

Number of less male supporters from Oman than Denmark at first
= 14 u - 10 u
= 4 u
= 4 x 3%
= 12%
= 12 x 11
= 132 

Answer(s): (a) 1 : 5; (b) 132