Zambia and Sweden took part in Youth Games. From Zambia, the ratio of the number of male supporters to the number of female supporters was 2 : 3. From Sweden, the ratio of the number of male supporters to the number of female supporters was 1 : 5. The total number of supporters from Zambia was ⁵₁₈ the total number of supporters from Sweden.

1. What was the ratio of the number of male supporters from Zambia to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 88 male supporters from both countries joined the games, the percentage of all the female supporters became 72%. How many less female supporters from Zambia than Sweden were there at first?

Zambia		Sweden
5 u		18 u
Male supporters	Female supporters	Male supporters	Female supporters
2	3	1x3	5x3
2 u	3 u	3 u	15 u

(a)
Number of male supporters from Sweden
= ¹₆ x 18 u
= 3 u

Number of female supporters from Zambia
= ⁵₆ x 18 u
= 15 u

Total number of male supporters
= 2 u + 3 u
= 5 u

Male supporters from Zambia : Total male supporters
2 : 5

(b)

	Male supporters	Female supporters
Before	5x4 = 20%	18x4 = 72%
Change	+ 88
After	28%	72%

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

Total number of female supporters at first
= 3 u + 15 u
= 18 u

After another 88 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.

18 u = 72%

1 u = 72% ÷ 18 = 4%

Number of male supporters at first in percent
= 5 x 4%
= 20%

Number of male supporters from both countries who joined the games
= 28% - 20%
= 8%

8% = 88 

1% = 88 ÷ 8 = 11

Number of less female supporters from Zambia than Sweden at first
= 15 u - 3 u
= 12 u
= 12 x 4%
= 48%
= 48 x 11
= 528 

Answer(s): (a) 2 : 5; (b) 528