PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$35 |
60 years and above |
$20 |
Child |
Below 16 years |
$5 |
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.
58 of the adult tickets sold were for adults aged below 60 years. A total of $8505 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 |
$35 |
$20 |
$5 |
Total value |
875 u |
300 u |
40 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
= 875 u + 300 u + 40 u
= 1215 u
1215 u = 8505
1 u = 8505 ÷ 1215 = 7
Total number of tickets sold to adults
= 25 u + 15 u
= 40 u
= 40 x 7
= 280
Answer(s): (a)
516; (b) 280