PSLE On Monday, the number of children to men to women visiting a theme park was 7 : 10 : 6. On Tuesday, the number of children visiting the theme park remained the same. However, the number of men increased by 50% and the number of women decreased by 50%.
- What was the ratio of the number of children to men to women visiting the theme park on Tuesday?
- On Monday, 576 men and women visited the theme park. What was the total number of visitors at the theme park on Tuesday?
|
Children |
Men |
Women |
Before |
7 u |
10 u |
6 u |
Change |
|
+ 5 u |
- 3 u |
After |
7 u |
15 u |
3 u |
(a)
Increase in the number of men
= 50% x 10 u
=
50100 x 10 u
= 5 u
Decrease in the number of women
= 50% x 6 u
=
50100 x 6 u
= 3 u
Number of men on Tuesday
= 10 u + 5 u
= 15 u
Number of women on Tuesday
= 6 u - 3 u
= 3 u
On Tuesday
Children : Men : Women
7 : 15 : 3
(b)
Number of men and women on Monday
= 10 u + 6 u
= 16 u
16 u = 576
1 u = 576 ÷ 16 = 36
Total number of visitors on Tuesday
= 7 u + 15 u + 3 u
= 25 u
= 25 x 36
= 900
Answer(s): (a) 7 : 15 : 3; (b) 900