PSLE On Saturday, the number of adults to boys to girls visiting a zoo was 7 : 4 : 10. On Sunday, the number of adults visiting the zoo remained the same. However, the number of boys increased by 25% and the number of girls decreased by 10%.
- What was the ratio of the number of adults to boys to girls visiting the zoo on Sunday?
- On Saturday, 294 boys and girls visited the zoo. What was the total number of visitors at the zoo on Sunday?
|
Adults |
Boys |
Girls |
Before |
7 u |
4 u |
10 u |
Change |
|
+ 1 u |
- 1 u |
After |
7 u |
5 u |
9 u |
(a)
Increase in the number of boys
= 25% x 4 u
=
25100 x 4 u
= 1 u
Decrease in the number of girls
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of boys on Sunday
= 4 u + 1 u
= 5 u
Number of girls on Sunday
= 10 u - 1 u
= 9 u
On Sunday
Adults : Boys : Girls
7 : 5 : 9
(b)
Number of boys and girls on Saturday
= 4 u + 10 u
= 14 u
14 u = 294
1 u = 294 ÷ 14 = 21
Total number of visitors on Sunday
= 7 u + 5 u + 9 u
= 21 u
= 21 x 21
= 441
Answer(s): (a) 7 : 5 : 9; (b) 441