PSLE On Saturday, the number of adults to girls to boys visiting a park was 7 : 10 : 6. On Sunday, the number of adults visiting the park remained the same. However, the number of girls increased by 30% 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 Sunday?
- On Saturday, 336 girls and boys visited the park. What was the total number of visitors at the park on Sunday?
|
Adults |
Girls |
Boys |
Before |
7 u |
10 u |
6 u |
Change |
|
+ 3 u |
- 3 u |
After |
7 u |
13 u |
3 u |
(a)
Increase in the number of girls
= 30% x 10 u
=
30100 x 10 u
= 3 u
Decrease in the number of boys
= 50% x 6 u
=
50100 x 6 u
= 3 u
Number of girls on Sunday
= 10 u + 3 u
= 13 u
Number of boys on Sunday
= 6 u - 3 u
= 3 u
On Sunday
Adults : Girls : Boys
7 : 13 : 3
(b)
Number of girls and boys on Saturday
= 10 u + 6 u
= 16 u
16 u = 336
1 u = 336 ÷ 16 = 21
Total number of visitors on Sunday
= 7 u + 13 u + 3 u
= 23 u
= 23 x 21
= 483
Answer(s): (a) 7 : 13 : 3; (b) 483