PSLE On Monday, the number of adults to girls to boys visiting a theme park was 3 : 10 : 10. On Tuesday, the number of adults visiting the theme park remained the same. However, the number of girls increased by 40% and the number of boys decreased by 20%.
- What was the ratio of the number of adults to girls to boys visiting the theme park on Tuesday?
- On Monday, 720 girls and boys visited the theme park. What was the total number of visitors at the theme park on Tuesday?
|
Adults |
Girls |
Boys |
Before |
3 u |
10 u |
10 u |
Change |
|
+ 4 u |
- 2 u |
After |
3 u |
14 u |
8 u |
(a)
Increase in the number of girls
= 40% x 10 u
=
40100 x 10 u
= 4 u
Decrease in the number of boys
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of girls on Tuesday
= 10 u + 4 u
= 14 u
Number of boys on Tuesday
= 10 u - 2 u
= 8 u
On Tuesday
Adults : Girls : Boys
3 : 14 : 8
(b)
Number of girls and boys on Monday
= 10 u + 10 u
= 20 u
20 u = 720
1 u = 720 ÷ 20 = 36
Total number of visitors on Tuesday
= 3 u + 14 u + 8 u
= 25 u
= 25 x 36
= 900
Answer(s): (a) 3 : 14 : 8; (b) 900