Mexico and France took part in Youth Games. From Mexico, the ratio of the number of male supporters to the number of female supporters was 4 : 7. From France, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from Mexico was ¹¹₂₄ the total number of supporters from France.

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 280 male supporters from both countries left the games, the percentage of all the female supporters became 88%. How many more female supporters from France than Mexico were there at first?

Mexico		France
11 u		24 u
Male supporters	Female supporters	Male supporters	Female supporters
4	7	3x3	5x3
4 u	7 u	9 u	15 u

(a)
Number of male supporters from France
= ³₈ x 24 u
= 9 u

Number of female supporters from Mexico
= ⁵₈ x 24 u
= 15 u

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

Male supporters from Mexico : Total male supporters
4 : 13

(b)

	Male supporters	Female supporters
Before	13x4 = 52%	22x4 = 88%
Change	- 280
After	12%	88%

Number of male supporters in the end in percent
= 100% - 88%
= 12%

Total number of female supporters at first
= 7 u + 15 u
= 22 u

After 280 male supporters from both countries left the games, the percentage of all the female supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

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

Number of male supporters from both countries who left
= 52% - 12%
= 40%

40% = 280 

1% = 280 ÷ 40 = 7

Number of more female supporters from France than Mexico at first
= 15 u - 7 u
= 8 u
= 8 x 4%
= 32%
= 32 x 7
= 224 

Answer(s): (a) 4 : 13; (b) 224