PSLE On Tuesday, the number of adults to girls to boys visiting a park was 7 : 4 : 8. On Wednesday, the number of adults visiting the park remained the same. However, the number of girls increased by 25% and the number of boys decreased by 50%.
- What was the ratio of the number of adults to girls to boys visiting the park on Wednesday?
- On Tuesday, 432 girls and boys visited the park. What was the total number of visitors at the park on Wednesday?
|
Adults |
Girls |
Boys |
Before |
7 u |
4 u |
8 u |
Change |
|
+ 1 u |
- 4 u |
After |
7 u |
5 u |
4 u |
(a)
Increase in the number of girls
= 25% x 4 u
=
25100 x 4 u
= 1 u
Decrease in the number of boys
= 50% x 8 u
=
50100 x 8 u
= 4 u
Number of girls on Wednesday
= 4 u + 1 u
= 5 u
Number of boys on Wednesday
= 8 u - 4 u
= 4 u
On Wednesday
Adults : Girls : Boys
7 : 5 : 4
(b)
Number of girls and boys on Tuesday
= 4 u + 8 u
= 12 u
12 u = 432
1 u = 432 ÷ 12 = 36
Total number of visitors on Wednesday
= 7 u + 5 u + 4 u
= 16 u
= 16 x 36
= 576
Answer(s): (a) 7 : 5 : 4; (b) 576