Mexico and Greece took part in Youth Games. From Mexico, the ratio of the number of male supporters to the number of female supporters was 3 : 2. From Greece, the ratio of the number of male supporters to the number of female supporters was 1 : 8. The total number of supporters from Mexico was ⁵₁₈ the total number of supporters from Greece.

1. What was the ratio of the number of male supporters from Mexico to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 432 male supporters from both countries joined the games, the percentage of all the female supporters became 36%. How many less female supporters from Mexico than Greece were there at first?

Mexico		Greece
5 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
3	2	1x2	8x2
3 u	2 u	2 u	16 u

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

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

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

Male supporters from Mexico : Total male supporters
3 : 5

(b)

	Male supporters	Female supporters
Before	5x2 = 10%	18x2 = 36%
Change	+ 432
After	64%	36%

Number of male supporters in the end in percent
= 100% - 36%
= 64%

Total number of female supporters at first
= 2 u + 16 u
= 18 u

After another 432 male supporters from both countries joined the games, the percentage of all the female supporters became 36%.

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

18 u = 36%

1 u = 36% ÷ 18 = 2%

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

Number of male supporters from both countries who joined the games
= 64% - 10%
= 54%

54% = 432 

1% = 432 ÷ 54 = 8

Number of less female supporters from Mexico than Greece at first
= 16 u - 2 u
= 14 u
= 14 x 2%
= 28%
= 28 x 8
= 224 

Answer(s): (a) 3 : 5; (b) 224