Malaysia and Zambia took part in Youth Games. From Malaysia, the ratio of the number of male supporters to the number of female supporters was 2 : 5. From Zambia, the ratio of the number of male supporters to the number of female supporters was 1 : 5. The total number of supporters from Malaysia was
718 the total number of supporters from Zambia.
- 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 275 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 Zambia were there at first?
Malaysia |
Zambia |
7 u |
18 u |
Male supporters |
Female supporters |
Male supporters |
Female supporters |
2 |
5 |
1x3 |
5x3 |
2 u |
5 u |
3 u |
15 u |
(a)
Number of male supporters from Zambia
=
16 x 18 u
= 3 u
Number of female supporters from Malaysia
=
56 x 18 u
= 15 u
Total number of male supporters
= 2 u + 3 u
= 5 u
Male supporters from Malaysia : Total male supporters
2 : 5
(b)
|
Male supporters |
Female supporters |
Before |
5x3 = 15% |
20x3 = 60% |
Change |
+ 275 |
|
After |
40% |
60% |
Number of male supporters in the end in percent
= 100% - 60%
= 40%
Total number of female supporters at first
= 5 u + 15 u
= 20 u
After another 275 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.
20 u = 60%
1 u = 60% ÷ 20 =
3%Number of male supporters at first in percent
= 5 x 3%
= 15%
Number of male supporters from both countries who joined the games
= 40% - 15%
= 25%
25% = 275
1% = 275 ÷ 25 =
11Number of less female supporters from Malaysia than Zambia at first
= 15 u - 5 u
= 10 u
= 10 x 3%
= 30%
= 30 x 11
= 330
Answer(s): (a) 2 : 5; (b) 330