PSLE On Monday, the number of adults to girls to boys visiting a tourist attraction was 1 : 8 : 10. On Tuesday, the number of adults visiting the tourist attraction remained the same. However, the number of girls increased by 25% and the number of boys decreased by 20%.
- What was the ratio of the number of adults to girls to boys visiting the tourist attraction on Tuesday?
- On Monday, 576 girls and boys visited the tourist attraction. What was the total number of visitors at the tourist attraction on Tuesday?
|
Adults |
Girls |
Boys |
Before |
1 u |
8 u |
10 u |
Change |
|
+ 2 u |
- 2 u |
After |
1 u |
10 u |
8 u |
(a)
Increase in the number of girls
= 25% x 8 u
=
25100 x 8 u
= 2 u
Decrease in the number of boys
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of girls on Tuesday
= 8 u + 2 u
= 10 u
Number of boys on Tuesday
= 10 u - 2 u
= 8 u
On Tuesday
Adults : Girls : Boys
1 : 10 : 8
(b)
Number of girls and boys on Monday
= 8 u + 10 u
= 18 u
18 u = 576
1 u = 576 ÷ 18 = 32
Total number of visitors on Tuesday
= 1 u + 10 u + 8 u
= 19 u
= 19 x 32
= 608
Answer(s): (a) 1 : 10 : 8; (b) 608