PSLE On Friday, the number of adults to girls to boys visiting a theme park was 1 : 8 : 5. On Saturday, the number of adults visiting the theme park remained the same. However, the number of girls increased by 25% and the number of boys decreased by 40%.
- What was the ratio of the number of adults to girls to boys visiting the theme park on Saturday?
- On Friday, 637 girls and boys visited the theme park. What was the total number of visitors at the theme park on Saturday?
|
Adults |
Girls |
Boys |
Before |
1 u |
8 u |
5 u |
Change |
|
+ 2 u |
- 2 u |
After |
1 u |
10 u |
3 u |
(a)
Increase in the number of girls
= 25% x 8 u
=
25100 x 8 u
= 2 u
Decrease in the number of boys
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of girls on Saturday
= 8 u + 2 u
= 10 u
Number of boys on Saturday
= 5 u - 2 u
= 3 u
On Saturday
Adults : Girls : Boys
1 : 10 : 3
(b)
Number of girls and boys on Friday
= 8 u + 5 u
= 13 u
13 u = 637
1 u = 637 ÷ 13 = 49
Total number of visitors on Saturday
= 1 u + 10 u + 3 u
= 14 u
= 14 x 49
= 686
Answer(s): (a) 1 : 10 : 3; (b) 686