PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$45 |
60 years and above |
$25 |
Child |
Below 12 years |
$8 |
The table shows the prices of tickets for a musical.
The number of adult tickets sold was 5 times the number of child tickets sold.
710 of the adult tickets sold were for adults aged below 60 years. A total of $3654 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 |
5x2 |
1x2 |
Below 60 years |
60 years and above |
|
7x1 |
3x1 |
|
7 u |
3 u |
2 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
7 u |
3 u |
2 u |
Value |
$45 |
$25 |
$8 |
Total value |
315 u |
75 u |
16 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 10 is 10.
Fraction of tickets sold were for adults aged 60 years and more
=
37 + 3 + 2 =
312 =
14 (b)
Amount collected from the sale of tickets
= 315 u + 75 u + 16 u
= 406 u
406 u = 3654
1 u = 3654 ÷ 406 = 9
Total number of tickets sold to adults
= 7 u + 3 u
= 10 u
= 10 x 9
= 90
Answer(s): (a)
14; (b) 90