PSLE On Monday, the number of adults to girls to boys visiting a safari park was 5 : 6 : 10. On Tuesday, the number of adults visiting the safari park remained the same. However, the number of girls increased by 50% and the number of boys decreased by 10%.
- What was the ratio of the number of adults to girls to boys visiting the safari park on Tuesday?
- On Monday, 736 girls and boys visited the safari park. What was the total number of visitors at the safari park on Tuesday?
|
Adults |
Girls |
Boys |
Before |
5 u |
6 u |
10 u |
Change |
|
+ 3 u |
- 1 u |
After |
5 u |
9 u |
9 u |
(a)
Increase in the number of girls
= 50% x 6 u
=
50100 x 6 u
= 3 u
Decrease in the number of boys
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of girls on Tuesday
= 6 u + 3 u
= 9 u
Number of boys on Tuesday
= 10 u - 1 u
= 9 u
On Tuesday
Adults : Girls : Boys
5 : 9 : 9
(b)
Number of girls and boys on Monday
= 6 u + 10 u
= 16 u
16 u = 736
1 u = 736 ÷ 16 = 46
Total number of visitors on Tuesday
= 5 u + 9 u + 9 u
= 23 u
= 23 x 46
= 1058
Answer(s): (a) 5 : 9 : 9; (b) 1058