Ireland and Spain 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 Spain, the ratio of the number of male supporters to the number of female supporters was 3 : 8. The total number of supporters from Ireland was ⁷₂₂ the total number of supporters from Spain.

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 176 male supporters from both countries left the games, the percentage of all the female supporters became 88%. How many more female supporters from Spain than Ireland were there at first?

Ireland		Spain
7 u		22 u
Male supporters	Female supporters	Male supporters	Female supporters
1	6	3x2	8x2
1 u	6 u	6 u	16 u

(a)
Number of male supporters from Spain
= ³₁₁ x 22 u
= 6 u

Number of female supporters from Ireland
= ⁸₁₁ x 22 u
= 16 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%	22x4 = 88%
Change	- 176
After	12%	88%

Number of male supporters in the end in percent
= 100% - 88%
= 12%

Total number of female supporters at first
= 6 u + 16 u
= 22 u

After 176 male supporters from both countries left the games, the percentage of all the female supporters became 88%.

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

22 u = 88%

1 u = 88% ÷ 22 = 4%

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

Number of male supporters from both countries who left
= 28% - 12%
= 16%

16% = 176 

1% = 176 ÷ 16 = 11

Number of more female supporters from Spain than Ireland at first
= 16 u - 6 u
= 10 u
= 10 x 4%
= 40%
= 40 x 11
= 440 

Answer(s): (a) 1 : 7; (b) 440