PSLE On Monday, the number of adults to boys to girls visiting a park was 7 : 12 : 10. On Tuesday, the number of adults visiting the park remained the same. However, the number of boys increased by 25% and the number of girls decreased by 40%.
- What was the ratio of the number of adults to boys to girls visiting the park on Tuesday?
- On Monday, 968 boys and girls visited the park. What was the total number of visitors at the park on Tuesday?
|
Adults |
Boys |
Girls |
Before |
7 u |
12 u |
10 u |
Change |
|
+ 3 u |
- 4 u |
After |
7 u |
15 u |
6 u |
(a)
Increase in the number of boys
= 25% x 12 u
=
25100 x 12 u
= 3 u
Decrease in the number of girls
= 40% x 10 u
=
40100 x 10 u
= 4 u
Number of boys on Tuesday
= 12 u + 3 u
= 15 u
Number of girls on Tuesday
= 10 u - 4 u
= 6 u
On Tuesday
Adults : Boys : Girls
7 : 15 : 6
(b)
Number of boys and girls on Monday
= 12 u + 10 u
= 22 u
22 u = 968
1 u = 968 ÷ 22 = 44
Total number of visitors on Tuesday
= 7 u + 15 u + 6 u
= 28 u
= 28 x 44
= 1232
Answer(s): (a) 7 : 15 : 6; (b) 1232