Norway and Italy took part in Youth Games. From Norway, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Italy, the ratio of the number of female supporters to the number of male supporters was 1 : 7. The total number of supporters from Norway was ⁷₂₄ the total number of supporters from Italy.

1. What was the ratio of the number of female supporters from Norway to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 76 female supporters from both countries joined the games, the percentage of all the male supporters became 54%. How many less male supporters from Norway than Italy were there at first?

Norway		Italy
7 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	1x3	7x3
1 u	6 u	3 u	21 u

(a)
Number of female supporters from Italy
= ¹₈ x 24 u
= 3 u

Number of male supporters from Norway
= ⁷₈ x 24 u
= 21 u

Total number of female supporters
= 1 u + 3 u
= 4 u

Female supporters from Norway : Total female supporters
1 : 4

(b)

	Female supporters	Male supporters
Before	4x2 = 8%	27x2 = 54%
Change	+ 76
After	46%	54%

Number of female supporters in the end in percent
= 100% - 54%
= 46%

Total number of male supporters at first
= 6 u + 21 u
= 27 u

After another 76 female supporters from both countries joined the games, the percentage of all the male supporters became 54%.

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

27 u = 54%

1 u = 54% ÷ 27 = 2%

Number of female supporters at first in percent
= 4 x 2%
= 8%

Number of female supporters from both countries who joined the games
= 46% - 8%
= 38%

38% = 76 

1% = 76 ÷ 38 = 2

Number of less male supporters from Norway than Italy at first
= 21 u - 6 u
= 15 u
= 15 x 2%
= 30%
= 30 x 2
= 60 

Answer(s): (a) 1 : 4; (b) 60