Greece and Chile 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 Chile, the ratio of the number of female supporters to the number of male supporters was 2 : 7. The total number of supporters from Greece was ⁷₁₈ the total number of supporters from Chile.

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 another 225 female supporters from both countries joined the games, the percentage of all the male supporters became 60%. How many less male supporters from Greece than Chile were there at first?

Greece		Chile
7 u		18 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	2x2	7x2
1 u	6 u	4 u	14 u

(a)
Number of female supporters from Chile
= ²₉ x 18 u
= 4 u

Number of male supporters from Greece
= ⁷₉ x 18 u
= 14 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	5x3 = 15%	20x3 = 60%
Change	+ 225
After	40%	60%

Number of female supporters in the end in percent
= 100% - 60%
= 40%

Total number of male supporters at first
= 6 u + 14 u
= 20 u

After another 225 female supporters from both countries joined the games, the percentage of all the male supporters became 60%.

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

20 u = 60%

1 u = 60% ÷ 20 = 3%

Number of female supporters at first in percent
= 5 x 3%
= 15%

Number of female supporters from both countries who joined the games
= 40% - 15%
= 25%

25% = 225 

1% = 225 ÷ 25 = 9

Number of less male supporters from Greece than Chile at first
= 14 u - 6 u
= 8 u
= 8 x 3%
= 24%
= 24 x 9
= 216 

Answer(s): (a) 1 : 5; (b) 216