PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$49 |
60 years and above |
$32 |
Child |
Below 12 years |
$12 |
The table shows the prices of tickets for a concert.
The number of adult tickets sold was 3 times the number of child tickets sold.
45 of the adult tickets sold were for adults aged below 60 years. A total of $5208 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults below 60 years? Give your answer in the simplest form.
- What was the total number of tickets sold?
Adults |
Children |
3x5 |
1x5 |
Below 60 years |
60 years and above |
|
4x3 |
1x3 |
|
12 u |
3 u |
5 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
12 u |
3 u |
5 u |
Value |
$49 |
$32 |
$12 |
Total value |
588 u |
96 u |
60 u |
(a)
The number of adults is the repeated identity. LCM of 3 and 5 is 15.
Fraction of tickets sold were for adults below 60 years
=
1212 + 3 + 5 =
1220 =
35 (b)
Amount collected from the sale of tickets
= 588 u + 96 u + 60 u
= 744 u
744 u = 5208
1 u = 5208 ÷ 744 = 7
Total number of tickets sold
= 12 u + 3 u + 5 u
= 20 u
= 20 x 7
= 140
Answer(s): (a)
35; (b) 140