Jordan and Peru took part in Youth Games. From Jordan, the ratio of the number of male supporters to the number of female supporters was 2 : 3. From Peru, the ratio of the number of male supporters to the number of female supporters was 1 : 2. The total number of supporters from Jordan was
527 the total number of supporters from Peru.
- What was the ratio of the number of male supporters from Jordan to the total number of male supporters from both countries? Express the answer in the simplest form.
- After 308 male supporters from both countries left the games, the percentage of all the female supporters became 84%. How many more female supporters from Peru than Jordan were there at first?
Jordan |
Peru |
5 u |
27 u |
Male supporters |
Female supporters |
Male supporters |
Female supporters |
2 |
3 |
1x3 |
2x3 |
2 u |
3 u |
9 u |
18 u |
(a)
Number of male supporters from Peru
=
13 x 27 u
= 9 u
Number of female supporters from Jordan
=
23 x 27 u
= 18 u
Total number of male supporters
= 2 u + 9 u
= 11 u
Male supporters from Jordan : Total male supporters
2 : 11
(b)
|
Male supporters |
Female supporters |
Before |
11x4 = 44% |
21x4 = 84% |
Change |
- 308 |
|
After |
16% |
84% |
Number of male supporters in the end in percent
= 100% - 84%
= 16%
Total number of female supporters at first
= 3 u + 18 u
= 21 u
After 308 male supporters from both countries left the games, the percentage of all the female supporters became 84%.
Since only male supporters left the games, the number of female supporters remains unchanged. Make the number of female supporters the same.
21 u = 84%
1 u = 84% ÷ 21 =
4%Number of male supporters at first in percent
= 11 x 4%
= 44%
Number of male supporters from both countries who left
= 44% - 16%
= 28%
28% = 308
1% = 308 ÷ 28 =
11Number of more female supporters from Peru than Jordan at first
= 18 u - 3 u
= 15 u
= 15 x 4%
= 60%
= 60 x 11
= 660
Answer(s): (a) 2 : 11; (b) 660