Jordan and Zambia took part in Youth Games. From Jordan, the ratio of the number of male supporters to the number of female supporters was 4 : 9. From Zambia, the ratio of the number of male supporters to the number of female supporters was 3 : 4. The total number of supporters from Jordan was ¹³₂₁ the total number of supporters from Zambia.

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 216 male supporters from both countries left the games, the percentage of all the female supporters became 84%. How many more female supporters from Zambia than Jordan were there at first?

Jordan		Zambia
13 u		21 u
Male supporters	Female supporters	Male supporters	Female supporters
4	9	3x3	4x3
4 u	9 u	9 u	12 u

(a)
Number of male supporters from Zambia
= ³₇ x 21 u
= 9 u

Number of female supporters from Jordan
= ⁴₇ x 21 u
= 12 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	13x4 = 52%	21x4 = 84%
Change	- 216
After	16%	84%

Number of male supporters in the end in percent
= 100% - 84%
= 16%

Total number of female supporters at first
= 9 u + 12 u
= 21 u

After 216 male supporters from both countries left the games, the percentage of all the female supporters became 84%.

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

21 u = 84%

1 u = 84% ÷ 21 = 4%

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

Number of male supporters from both countries who left
= 52% - 16%
= 36%

36% = 216 

1% = 216 ÷ 36 = 6

Number of more female supporters from Zambia than Jordan at first
= 12 u - 9 u
= 3 u
= 3 x 4%
= 12%
= 12 x 6
= 72 

Answer(s): (a) 4 : 13; (b) 72