Malaysia and Brazil took part in Youth Games. From Malaysia, the ratio of the number of male supporters to the number of female supporters was 3 : 8. From Brazil, the ratio of the number of male supporters to the number of female supporters was 1 : 11. The total number of supporters from Malaysia was
1124 the total number of supporters from Brazil.
- What was the ratio of the number of male supporters from Malaysia to the total number of male supporters from both countries? Express the answer in the simplest form.
- After another 270 male supporters from both countries joined the games, the percentage of all the female supporters became 60%. How many less female supporters from Malaysia than Brazil were there at first?
Malaysia |
Brazil |
11 u |
24 u |
Male supporters |
Female supporters |
Male supporters |
Female supporters |
3 |
8 |
1x2 |
11x2 |
3 u |
8 u |
2 u |
22 u |
(a)
Number of male supporters from Brazil
=
112 x 24 u
= 2 u
Number of female supporters from Malaysia
=
1112 x 24 u
= 22 u
Total number of male supporters
= 3 u + 2 u
= 5 u
Male supporters from Malaysia : Total male supporters
3 : 5
(b)
|
Male supporters |
Female supporters |
Before |
5x2 = 10% |
30x2 = 60% |
Change |
+ 270 |
|
After |
40% |
60% |
Number of male supporters in the end in percent
= 100% - 60%
= 40%
Total number of female supporters at first
= 8 u + 22 u
= 30 u
After another 270 male supporters from both countries joined the games, the percentage of all the female supporters became 60%.
Since only more male supporters joined the games, the number of female supporters remains unchanged. Make the number of female supporters the same.
30 u = 60%
1 u = 60% ÷ 30 =
2%Number of male supporters at first in percent
= 5 x 2%
= 10%
Number of male supporters from both countries who joined the games
= 40% - 10%
= 30%
30% = 270
1% = 270 ÷ 30 =
9Number of less female supporters from Malaysia than Brazil at first
= 22 u - 8 u
= 14 u
= 14 x 2%
= 28%
= 28 x 9
= 252
Answer(s): (a) 3 : 5; (b) 252