PSLE On Saturday, the number of adults to girls to boys visiting a tourist attraction was 1 : 10 : 6. On Sunday, the number of adults visiting the tourist attraction remained the same. However, the number of girls increased by 40% and the number of boys decreased by 50%.
- What was the ratio of the number of adults to girls to boys visiting the tourist attraction on Sunday?
- On Saturday, 576 girls and boys visited the tourist attraction. What was the total number of visitors at the tourist attraction on Sunday?
|
Adults |
Girls |
Boys |
Before |
1 u |
10 u |
6 u |
Change |
|
+ 4 u |
- 3 u |
After |
1 u |
14 u |
3 u |
(a)
Increase in the number of girls
= 40% x 10 u
=
40100 x 10 u
= 4 u
Decrease in the number of boys
= 50% x 6 u
=
50100 x 6 u
= 3 u
Number of girls on Sunday
= 10 u + 4 u
= 14 u
Number of boys on Sunday
= 6 u - 3 u
= 3 u
On Sunday
Adults : Girls : Boys
1 : 14 : 3
(b)
Number of girls and boys on Saturday
= 10 u + 6 u
= 16 u
16 u = 576
1 u = 576 ÷ 16 = 36
Total number of visitors on Sunday
= 1 u + 14 u + 3 u
= 18 u
= 18 x 36
= 648
Answer(s): (a) 1 : 14 : 3; (b) 648