PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$51 |
60 years and above |
$32 |
Child |
Below 16 years |
$12 |
The table shows the prices of tickets for a concert.
The number of adult tickets sold was 5 times the number of child tickets sold.
58 of the adult tickets sold were for adults aged below 60 years. A total of $29616 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults aged 60 years and above? Give your answer in the simplest form.
- What was the total number of tickets sold to adults?
Adults |
Children |
5x8 |
1x8 |
Below 60 years |
60 years and above |
|
5x5 |
3x5 |
|
25 u |
15 u |
8 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
25 u |
15 u |
8 u |
Value |
$51 |
$32 |
$12 |
Total value |
1275 u |
480 u |
96 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 8 is 40.
Fraction of tickets sold were for adults aged 60 years and more
=
1525 + 15 + 8 =
1548 =
516 (b)
Amount collected from the sale of tickets
= 1275 u + 480 u + 96 u
= 1851 u
1851 u = 29616
1 u = 29616 ÷ 1851 = 16
Total number of tickets sold to adults
= 25 u + 15 u
= 40 u
= 40 x 16
= 640
Answer(s): (a)
516; (b) 640