PSLE On Saturday, the number of adults to girls to boys visiting a fun fair was 1 : 10 : 10. On Sunday, the number of adults visiting the fun fair remained the same. However, the number of girls increased by 10% and the number of boys decreased by 10%.
- What was the ratio of the number of adults to girls to boys visiting the fun fair on Sunday?
- On Saturday, 640 girls and boys visited the fun fair. What was the total number of visitors at the fun fair on Sunday?
|
Adults |
Girls |
Boys |
Before |
1 u |
10 u |
10 u |
Change |
|
+ 1 u |
- 1 u |
After |
1 u |
11 u |
9 u |
(a)
Increase in the number of girls
= 10% x 10 u
=
10100 x 10 u
= 1 u
Decrease in the number of boys
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of girls on Sunday
= 10 u + 1 u
= 11 u
Number of boys on Sunday
= 10 u - 1 u
= 9 u
On Sunday
Adults : Girls : Boys
1 : 11 : 9
(b)
Number of girls and boys on Saturday
= 10 u + 10 u
= 20 u
20 u = 640
1 u = 640 ÷ 20 = 32
Total number of visitors on Sunday
= 1 u + 11 u + 9 u
= 21 u
= 21 x 32
= 672
Answer(s): (a) 1 : 11 : 9; (b) 672