Malta and Zambia took part in Youth Games. From Malta, the ratio of the number of male supporters to the number of female supporters was 1 : 4. From Zambia, the ratio of the number of male supporters to the number of female supporters was 2 : 9. The total number of supporters from Malta was ⁵₂₂ the total number of supporters from Zambia.

1. What was the ratio of the number of male supporters from Malta to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 152 male supporters from both countries joined the games, the percentage of all the female supporters became 66%. How many less female supporters from Malta than Zambia were there at first?

Malta		Zambia
5 u		22 u
Male supporters	Female supporters	Male supporters	Female supporters
1	4	2x2	9x2
1 u	4 u	4 u	18 u

(a)
Number of male supporters from Zambia
= ²₁₁ x 22 u
= 4 u

Number of female supporters from Malta
= ⁹₁₁ x 22 u
= 18 u

Total number of male supporters
= 1 u + 4 u
= 5 u

Male supporters from Malta : Total male supporters
1 : 5

(b)

	Male supporters	Female supporters
Before	5x3 = 15%	22x3 = 66%
Change	+ 152
After	34%	66%

Number of male supporters in the end in percent
= 100% - 66%
= 34%

Total number of female supporters at first
= 4 u + 18 u
= 22 u

After another 152 male supporters from both countries joined the games, the percentage of all the female supporters became 66%.

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

22 u = 66%

1 u = 66% ÷ 22 = 3%

Number of male supporters at first in percent
= 5 x 3%
= 15%

Number of male supporters from both countries who joined the games
= 34% - 15%
= 19%

19% = 152 

1% = 152 ÷ 19 = 8

Number of less female supporters from Malta than Zambia at first
= 18 u - 4 u
= 14 u
= 14 x 3%
= 42%
= 42 x 8
= 336 

Answer(s): (a) 1 : 5; (b) 336