PSLE On Tuesday, the number of children to men to women visiting a safari park was 1 : 5 : 10. On Wednesday, the number of children visiting the safari park remained the same. However, the number of men increased by 20% and the number of women decreased by 20%.
- What was the ratio of the number of children to men to women visiting the safari park on Wednesday?
- On Tuesday, 510 men and women visited the safari park. What was the total number of visitors at the safari park on Wednesday?
|
Children |
Men |
Women |
Before |
1 u |
5 u |
10 u |
Change |
|
+ 1 u |
- 2 u |
After |
1 u |
6 u |
8 u |
(a)
Increase in the number of men
= 20% x 5 u
=
20100 x 5 u
= 1 u
Decrease in the number of women
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of men on Wednesday
= 5 u + 1 u
= 6 u
Number of women on Wednesday
= 10 u - 2 u
= 8 u
On Wednesday
Children : Men : Women
1 : 6 : 8
(b)
Number of men and women on Tuesday
= 5 u + 10 u
= 15 u
15 u = 510
1 u = 510 ÷ 15 = 34
Total number of visitors on Wednesday
= 1 u + 6 u + 8 u
= 15 u
= 15 x 34
= 510
Answer(s): (a) 1 : 6 : 8; (b) 510