Iran and Egypt took part in Youth Games. From Iran, the ratio of the number of male supporters to the number of female supporters was 4 : 1. From Egypt, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Iran was ⁵₂₇ the total number of supporters from Egypt.

1. What was the ratio of the number of male supporters from Iran to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 280 male supporters from both countries left the games, the percentage of all the female supporters became 76%. How many more female supporters from Egypt than Iran were there at first?

Iran		Egypt
5 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
4	1	1x3	2x3
4 u	1 u	9 u	18 u

(a)
Number of male supporters from Egypt
= ¹₃ x 27 u
= 9 u

Number of female supporters from Iran
= ²₃ x 27 u
= 18 u

Total number of male supporters
= 4 u + 9 u
= 13 u

Male supporters from Iran : Total male supporters
4 : 13

(b)

	Male supporters	Female supporters
Before	13x4 = 52%	19x4 = 76%
Change	- 280
After	24%	76%

Number of male supporters in the end in percent
= 100% - 76%
= 24%

Total number of female supporters at first
= 1 u + 18 u
= 19 u

After 280 male supporters from both countries left the games, the percentage of all the female supporters became 76%.

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

19 u = 76%

1 u = 76% ÷ 19 = 4%

Number of male supporters at first in percent
= 13 x 4%
= 52%

Number of male supporters from both countries who left
= 52% - 24%
= 28%

28% = 280 

1% = 280 ÷ 28 = 10

Number of more female supporters from Egypt than Iran at first
= 18 u - 1 u
= 17 u
= 17 x 4%
= 68%
= 68 x 10
= 680 

Answer(s): (a) 4 : 13; (b) 680