Canada and France took part in Youth Games. From Canada, the ratio of the number of female supporters to the number of male supporters was 1 : 9. From France, the ratio of the number of female supporters to the number of male supporters was 2 : 7. The total number of supporters from Canada was ¹⁰₂₇ the total number of supporters from France.

1. What was the ratio of the number of female supporters from Canada to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 234 female supporters from both countries joined the games, the percentage of all the male supporters became 60%. How many less male supporters from Canada than France were there at first?

Canada		France
10 u		27 u
Female supporters	Male supporters	Female supporters	Male supporters
1	9	2x3	7x3
1 u	9 u	6 u	21 u

(a)
Number of female supporters from France
= ²₉ x 27 u
= 6 u

Number of male supporters from Canada
= ⁷₉ x 27 u
= 21 u

Total number of female supporters
= 1 u + 6 u
= 7 u

Female supporters from Canada : Total female supporters
1 : 7

(b)

	Female supporters	Male supporters
Before	7x2 = 14%	30x2 = 60%
Change	+ 234
After	40%	60%

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

Total number of male supporters at first
= 9 u + 21 u
= 30 u

After another 234 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.

30 u = 60%

1 u = 60% ÷ 30 = 2%

Number of female supporters at first in percent
= 7 x 2%
= 14%

Number of female supporters from both countries who joined the games
= 40% - 14%
= 26%

26% = 234 

1% = 234 ÷ 26 = 9

Number of less male supporters from Canada than France at first
= 21 u - 9 u
= 12 u
= 12 x 2%
= 24%
= 24 x 9
= 216 

Answer(s): (a) 1 : 7; (b) 216