PSLE On Tuesday, the number of adults to boys to girls visiting a park was 7 : 8 : 5. 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 20%.
- What was the ratio of the number of adults to boys to girls visiting the park on Wednesday?
- On Tuesday, 572 boys and girls visited the park. What was the total number of visitors at the park on Wednesday?
|
Adults |
Boys |
Girls |
Before |
7 u |
8 u |
5 u |
Change |
|
+ 4 u |
- 1 u |
After |
7 u |
12 u |
4 u |
(a)
Increase in the number of boys
= 50% x 8 u
=
50100 x 8 u
= 4 u
Decrease in the number of girls
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of boys on Wednesday
= 8 u + 4 u
= 12 u
Number of girls on Wednesday
= 5 u - 1 u
= 4 u
On Wednesday
Adults : Boys : Girls
7 : 12 : 4
(b)
Number of boys and girls on Tuesday
= 8 u + 5 u
= 13 u
13 u = 572
1 u = 572 ÷ 13 = 44
Total number of visitors on Wednesday
= 7 u + 12 u + 4 u
= 23 u
= 23 x 44
= 1012
Answer(s): (a) 7 : 12 : 4; (b) 1012