Finland and Oman took part in Youth Games. From Finland, the ratio of the number of male supporters to the number of female supporters was 1 : 6. From Oman, the ratio of the number of male supporters to the number of female supporters was 3 : 8. The total number of supporters from Finland was
722 the total number of supporters from Oman.
- What was the ratio of the number of male supporters from Finland to the total number of male supporters from both countries? Express the answer in the simplest form.
- After 80 male supporters from both countries left the games, the percentage of all the female supporters became 88%. How many more female supporters from Oman than Finland were there at first?
Finland |
Oman |
7 u |
22 u |
Male supporters |
Female supporters |
Male supporters |
Female supporters |
1 |
6 |
3x2 |
8x2 |
1 u |
6 u |
6 u |
16 u |
(a)
Number of male supporters from Oman
=
311 x 22 u
= 6 u
Number of female supporters from Finland
=
811 x 22 u
= 16 u
Total number of male supporters
= 1 u + 6 u
= 7 u
Male supporters from Finland : Total male supporters
1 : 7
(b)
|
Male supporters |
Female supporters |
Before |
7x4 = 28% |
22x4 = 88% |
Change |
- 80 |
|
After |
12% |
88% |
Number of male supporters in the end in percent
= 100% - 88%
= 12%
Total number of female supporters at first
= 6 u + 16 u
= 22 u
After 80 male supporters from both countries left the games, the percentage of all the female supporters became 88%.
Since only male supporters left the games, the number of female supporters remains unchanged. Make the number of female supporters the same.
22 u = 88%
1 u = 88% ÷ 22 =
4%Number of male supporters at first in percent
= 7 x 4%
= 28%
Number of male supporters from both countries who left
= 28% - 12%
= 16%
16% = 80
1% = 80 ÷ 16 =
5Number of more female supporters from Oman than Finland at first
= 16 u - 6 u
= 10 u
= 10 x 4%
= 40%
= 40 x 5
= 200
Answer(s): (a) 1 : 7; (b) 200