PSLE On Monday, the number of adults to boys to girls visiting a safari park was 1 : 2 : 2. On Tuesday, the number of adults visiting the safari park remained the same. However, the number of boys increased by 50% and the number of girls decreased by 50%.
- What was the ratio of the number of adults to boys to girls visiting the safari park on Tuesday?
- On Monday, 180 boys and girls visited the safari park. What was the total number of visitors at the safari park on Tuesday?
|
Adults |
Boys |
Girls |
Before |
1 u |
2 u |
2 u |
Change |
|
+ 1 u |
- 1 u |
After |
1 u |
3 u |
1 u |
(a)
Increase in the number of boys
= 50% x 2 u
=
50100 x 2 u
= 1 u
Decrease in the number of girls
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of boys on Tuesday
= 2 u + 1 u
= 3 u
Number of girls on Tuesday
= 2 u - 1 u
= 1 u
On Tuesday
Adults : Boys : Girls
1 : 3 : 1
(b)
Number of boys and girls on Monday
= 2 u + 2 u
= 4 u
4 u = 180
1 u = 180 ÷ 4 = 45
Total number of visitors on Tuesday
= 1 u + 3 u + 1 u
= 5 u
= 5 x 45
= 225
Answer(s): (a) 1 : 3 : 1; (b) 225