Greece and Thailand took part in Youth Games. From Greece, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Thailand, the ratio of the number of female supporters to the number of male supporters was 1 : 4. The total number of supporters from Greece was ⁷₂₀ the total number of supporters from Thailand.

1. What was the ratio of the number of female supporters from Greece to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After 32 female supporters from both countries left the games, the percentage of all the male supporters became 88%. How many more male supporters from Thailand than Greece were there at first?

Greece		Thailand
7 u		20 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	1x2	4x2
1 u	6 u	4 u	16 u

(a)
Number of female supporters from Thailand
= ¹₅ x 20 u
= 4 u

Number of male supporters from Greece
= ⁴₅ x 20 u
= 16 u

Total number of female supporters
= 1 u + 4 u
= 5 u

Female supporters from Greece : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x4 = 20%	22x4 = 88%
Change	- 32
After	12%	88%

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

Total number of male supporters at first
= 6 u + 16 u
= 22 u

After 32 female supporters from both countries left the games, the percentage of all the male supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

Number of female supporters at first in percent
= 5 x 4%
= 20%

Number of female supporters from both countries who left
= 20% - 12%
= 8%

8% = 32 

1% = 32 ÷ 8 = 4

Number of more male supporters from Thailand than Greece at first
= 16 u - 6 u
= 10 u
= 10 x 4%
= 40%
= 40 x 4
= 160 

Answer(s): (a) 1 : 5; (b) 160