PSLE On Saturday, the number of adults to boys to girls visiting a theme park was 7 : 10 : 8. On Sunday, the number of adults visiting the theme park remained the same. However, the number of boys increased by 50% and the number of girls decreased by 25%.
- What was the ratio of the number of adults to boys to girls visiting the theme park on Sunday?
- On Saturday, 594 boys and girls visited the theme park. What was the total number of visitors at the theme park on Sunday?
|
Adults |
Boys |
Girls |
Before |
7 u |
10 u |
8 u |
Change |
|
+ 5 u |
- 2 u |
After |
7 u |
15 u |
6 u |
(a)
Increase in the number of boys
= 50% x 10 u
=
50100 x 10 u
= 5 u
Decrease in the number of girls
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of boys on Sunday
= 10 u + 5 u
= 15 u
Number of girls on Sunday
= 8 u - 2 u
= 6 u
On Sunday
Adults : Boys : Girls
7 : 15 : 6
(b)
Number of boys and girls on Saturday
= 10 u + 8 u
= 18 u
18 u = 594
1 u = 594 ÷ 18 = 33
Total number of visitors on Sunday
= 7 u + 15 u + 6 u
= 28 u
= 28 x 33
= 924
Answer(s): (a) 7 : 15 : 6; (b) 924