Iraq and Kenya took part in Youth Games. From Iraq, the ratio of the number of female supporters to the number of male supporters was 2 : 5. From Kenya, the ratio of the number of female supporters to the number of male supporters was 3 : 5. The total number of supporters from Iraq was ⁷₂₄ the total number of supporters from Kenya.

1. What was the ratio of the number of female supporters from Iraq to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 342 female supporters from both countries joined the games, the percentage of all the male supporters became 40%. How many less male supporters from Iraq than Kenya were there at first?

Iraq		Kenya
7 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
2	5	3x3	5x3
2 u	5 u	9 u	15 u

(a)
Number of female supporters from Kenya
= ³₈ x 24 u
= 9 u

Number of male supporters from Iraq
= ⁵₈ x 24 u
= 15 u

Total number of female supporters
= 2 u + 9 u
= 11 u

Female supporters from Iraq : Total female supporters
2 : 11

(b)

	Female supporters	Male supporters
Before	11x2 = 22%	20x2 = 40%
Change	+ 342
After	60%	40%

Number of female supporters in the end in percent
= 100% - 40%
= 60%

Total number of male supporters at first
= 5 u + 15 u
= 20 u

After another 342 female supporters from both countries joined the games, the percentage of all the male supporters became 40%.

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

20 u = 40%

1 u = 40% ÷ 20 = 2%

Number of female supporters at first in percent
= 11 x 2%
= 22%

Number of female supporters from both countries who joined the games
= 60% - 22%
= 38%

38% = 342 

1% = 342 ÷ 38 = 9

Number of less male supporters from Iraq than Kenya at first
= 15 u - 5 u
= 10 u
= 10 x 2%
= 20%
= 20 x 9
= 180 

Answer(s): (a) 2 : 11; (b) 180