Jordan and France took part in Youth Games. From Jordan, 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 Jordan was ¹¹₂₄ the total number of supporters from France.

1. What was the ratio of the number of male supporters from Jordan to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 35 male supporters from both countries left the games, the percentage of all the female supporters became 66%. How many more female supporters from France than Jordan were there at first?

Jordan		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 Jordan
= ⁵₈ x 24 u
= 15 u

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

Male supporters from Jordan : Total male supporters
4 : 13

(b)

	Male supporters	Female supporters
Before	13x3 = 39%	22x3 = 66%
Change	- 35
After	34%	66%

Number of male supporters in the end in percent
= 100% - 66%
= 34%

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

After 35 male supporters from both countries left the games, the percentage of all the female supporters became 66%.

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

22 u = 66%

1 u = 66% ÷ 22 = 3%

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

Number of male supporters from both countries who left
= 39% - 34%
= 5%

5% = 35 

1% = 35 ÷ 5 = 7

Number of more female supporters from France than Jordan at first
= 15 u - 7 u
= 8 u
= 8 x 3%
= 24%
= 24 x 7
= 168 

Answer(s): (a) 4 : 13; (b) 168