Malta and Malaysia took part in Youth Games. From Malta, the ratio of the number of female supporters to the number of male supporters was 1 : 6. From Malaysia, the ratio of the number of female supporters to the number of male supporters was 1 : 5. The total number of supporters from Malta was ⁷₂₄ the total number of supporters from Malaysia.

1. What was the ratio of the number of female supporters from Malta to the total number of female supporters from both countries? Express the answer in the simplest form.
2. After another 190 female supporters from both countries joined the games, the percentage of all the male supporters became 52%. How many less male supporters from Malta than Malaysia were there at first?

Malta		Malaysia
7 u		24 u
Female supporters	Male supporters	Female supporters	Male supporters
1	6	1x2	5x2
1 u	6 u	4 u	20 u

(a)
Number of female supporters from Malaysia
= ¹₆ x 24 u
= 4 u

Number of male supporters from Malta
= ⁵₆ x 24 u
= 20 u

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

Female supporters from Malta : Total female supporters
1 : 5

(b)

	Female supporters	Male supporters
Before	5x2 = 10%	26x2 = 52%
Change	+ 190
After	48%	52%

Number of female supporters in the end in percent
= 100% - 52%
= 48%

Total number of male supporters at first
= 6 u + 20 u
= 26 u

After another 190 female supporters from both countries joined the games, the percentage of all the male supporters became 52%.

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

26 u = 52%

1 u = 52% ÷ 26 = 2%

Number of female supporters at first in percent
= 5 x 2%
= 10%

Number of female supporters from both countries who joined the games
= 48% - 10%
= 38%

38% = 190 

1% = 190 ÷ 38 = 5

Number of less male supporters from Malta than Malaysia at first
= 20 u - 6 u
= 14 u
= 14 x 2%
= 28%
= 28 x 5
= 140 

Answer(s): (a) 1 : 5; (b) 140