Oman and Jordan took part in Youth Games. From Oman, the ratio of the number of male supporters to the number of female supporters was 3 : 8. From Jordan, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Oman was ¹¹₁₈ the total number of supporters from Jordan.

1. What was the ratio of the number of male supporters from Oman to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 462 male supporters from both countries joined the games, the percentage of all the female supporters became 48%. How many less female supporters from Oman than Jordan were there at first?

Oman		Jordan
11 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
3	8	1x2	8x2
3 u	8 u	2 u	16 u

(a)
Number of male supporters from Jordan
= ¹₉ x 18 u
= 2 u

Number of female supporters from Oman
= ⁸₉ x 18 u
= 16 u

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

Male supporters from Oman : Total male supporters
3 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	24x2 = 48%
Change	+ 462
After	52%	48%

Number of male supporters in the end in percent
= 100% - 48%
= 52%

Total number of female supporters at first
= 8 u + 16 u
= 24 u

After another 462 male supporters from both countries joined the games, the percentage of all the female supporters became 48%.

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

24 u = 48%

1 u = 48% ÷ 24 = 2%

Number of male supporters at first in percent
= 5 x 2%
= 10%

Number of male supporters from both countries who joined the games
= 52% - 10%
= 42%

42% = 462 

1% = 462 ÷ 42 = 11

Number of less female supporters from Oman than Jordan at first
= 16 u - 8 u
= 8 u
= 8 x 2%
= 16%
= 16 x 11
= 176 

Answer(s): (a) 3 : 5; (b) 176