Maldives and Iraq took part in Youth Games. From Maldives, the ratio of the number of male supporters to the number of female supporters was 1 : 4. From Iraq, the ratio of the number of male supporters to the number of female supporters was 4 : 5. The total number of supporters from Maldives was ⁵₂₇ the total number of supporters from Iraq.

1. What was the ratio of the number of male supporters from Maldives to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 36 male supporters from both countries joined the games, the percentage of all the female supporters became 57%. How many less female supporters from Maldives than Iraq were there at first?

Maldives		Iraq
5 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
1	4	4x3	5x3
1 u	4 u	12 u	15 u

(a)
Number of male supporters from Iraq
= ⁴₉ x 27 u
= 12 u

Number of female supporters from Maldives
= ⁵₉ x 27 u
= 15 u

Total number of male supporters
= 1 u + 12 u
= 13 u

Male supporters from Maldives : Total male supporters
1 : 13

(b)

	Male supporters	Female supporters
Before	13x3 = 39%	19x3 = 57%
Change	+ 36
After	43%	57%

Number of male supporters in the end in percent
= 100% - 57%
= 43%

Total number of female supporters at first
= 4 u + 15 u
= 19 u

After another 36 male supporters from both countries joined the games, the percentage of all the female supporters became 57%.

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

19 u = 57%

1 u = 57% ÷ 19 = 3%

Number of male supporters at first in percent
= 13 x 3%
= 39%

Number of male supporters from both countries who joined the games
= 43% - 39%
= 4%

4% = 36 

1% = 36 ÷ 4 = 9

Number of less female supporters from Maldives than Iraq at first
= 15 u - 4 u
= 11 u
= 11 x 3%
= 33%
= 33 x 9
= 297 

Answer(s): (a) 1 : 13; (b) 297