Ireland and Finland took part in Youth Games. From Ireland, the ratio of the number of male supporters to the number of female supporters was 1 : 6. From Finland, the ratio of the number of male supporters to the number of female supporters was 3 : 7. The total number of supporters from Ireland was ⁷₂₀ the total number of supporters from Finland.

1. What was the ratio of the number of male supporters from Ireland to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 32 male supporters from both countries left the games, the percentage of all the female supporters became 80%. How many more female supporters from Finland than Ireland were there at first?

Ireland		Finland
7 u		20 u
Male supporters	Female supporters	Male supporters	Female supporters
1	6	3x2	7x2
1 u	6 u	6 u	14 u

(a)
Number of male supporters from Finland
= ³₁₀ x 20 u
= 6 u

Number of female supporters from Ireland
= ⁷₁₀ x 20 u
= 14 u

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

Male supporters from Ireland : Total male supporters
1 : 7

(b)

	Male supporters	Female supporters
Before	7x4 = 28%	20x4 = 80%
Change	- 32
After	20%	80%

Number of male supporters in the end in percent
= 100% - 80%
= 20%

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

After 32 male supporters from both countries left the games, the percentage of all the female supporters became 80%.

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

20 u = 80%

1 u = 80% ÷ 20 = 4%

Number of male supporters at first in percent
= 7 x 4%
= 28%

Number of male supporters from both countries who left
= 28% - 20%
= 8%

8% = 32 

1% = 32 ÷ 8 = 4

Number of more female supporters from Finland than Ireland at first
= 14 u - 6 u
= 8 u
= 8 x 4%
= 32%
= 32 x 4
= 128 

Answer(s): (a) 1 : 7; (b) 128