PSLE On Tuesday, the number of adults to boys to girls visiting a park was 5 : 4 : 8. On Wednesday, the number of adults visiting the 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 park on Wednesday?
- On Tuesday, 288 boys and girls visited the park. What was the total number of visitors at the park on Wednesday?
|
Adults |
Boys |
Girls |
Before |
5 u |
4 u |
8 u |
Change |
|
+ 2 u |
- 4 u |
After |
5 u |
6 u |
4 u |
(a)
Increase in the number of boys
= 50% x 4 u
=
50100 x 4 u
= 2 u
Decrease in the number of girls
= 50% x 8 u
=
50100 x 8 u
= 4 u
Number of boys on Wednesday
= 4 u + 2 u
= 6 u
Number of girls on Wednesday
= 8 u - 4 u
= 4 u
On Wednesday
Adults : Boys : Girls
5 : 6 : 4
(b)
Number of boys and girls on Tuesday
= 4 u + 8 u
= 12 u
12 u = 288
1 u = 288 ÷ 12 = 24
Total number of visitors on Wednesday
= 5 u + 6 u + 4 u
= 15 u
= 15 x 24
= 360
Answer(s): (a) 5 : 6 : 4; (b) 360