PSLE On Monday, the number of children to women to men visiting a zoo was 3 : 10 : 4. On Tuesday, the number of children visiting the zoo remained the same. However, the number of women increased by 40% and the number of men decreased by 50%.
- What was the ratio of the number of children to women to men visiting the zoo on Tuesday?
- On Monday, 406 women and men visited the zoo. What was the total number of visitors at the zoo on Tuesday?
|
Children |
Women |
Men |
Before |
3 u |
10 u |
4 u |
Change |
|
+ 4 u |
- 2 u |
After |
3 u |
14 u |
2 u |
(a)
Increase in the number of women
= 40% x 10 u
=
40100 x 10 u
= 4 u
Decrease in the number of men
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of women on Tuesday
= 10 u + 4 u
= 14 u
Number of men on Tuesday
= 4 u - 2 u
= 2 u
On Tuesday
Children : Women : Men
3 : 14 : 2
(b)
Number of women and men on Monday
= 10 u + 4 u
= 14 u
14 u = 406
1 u = 406 ÷ 14 = 29
Total number of visitors on Tuesday
= 3 u + 14 u + 2 u
= 19 u
= 19 x 29
= 551
Answer(s): (a) 3 : 14 : 2; (b) 551