Finland and France took part in Youth Games. From Finland, the ratio of the number of male supporters to the number of female supporters was 3 : 10. From France, the ratio of the number of male supporters to the number of female supporters was 2 : 7. The total number of supporters from Finland was ¹³₁₈ the total number of supporters from France.

1. What was the ratio of the number of male supporters from Finland to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 14 male supporters from both countries joined the games, the percentage of all the female supporters became 72%. How many less female supporters from Finland than France were there at first?

Finland		France
13 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
3	10	2x2	7x2
3 u	10 u	4 u	14 u

(a)
Number of male supporters from France
= ²₉ x 18 u
= 4 u

Number of female supporters from Finland
= ⁷₉ x 18 u
= 14 u

Total number of male supporters
= 3 u + 4 u
= 7 u

Male supporters from Finland : Total male supporters
3 : 7

(b)

	Male supporters	Female supporters
Before	7x3 = 21%	24x3 = 72%
Change	+ 14
After	28%	72%

Number of male supporters in the end in percent
= 100% - 72%
= 28%

Total number of female supporters at first
= 10 u + 14 u
= 24 u

After another 14 male supporters from both countries joined the games, the percentage of all the female supporters became 72%.

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

24 u = 72%

1 u = 72% ÷ 24 = 3%

Number of male supporters at first in percent
= 7 x 3%
= 21%

Number of male supporters from both countries who joined the games
= 28% - 21%
= 7%

7% = 14 

1% = 14 ÷ 7 = 2

Number of less female supporters from Finland than France at first
= 14 u - 10 u
= 4 u
= 4 x 3%
= 12%
= 12 x 2
= 24 

Answer(s): (a) 3 : 7; (b) 24