PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$36 |
60 years and above |
$17 |
Child |
Below 12 years |
$7 |
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.
34 of the adult tickets sold were for adults aged below 60 years. A total of $6530 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 |
5x4 |
1x4 |
Below 60 years |
60 years and above |
|
3x5 |
1x5 |
|
15 u |
5 u |
4 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
15 u |
5 u |
4 u |
Value |
$36 |
$17 |
$7 |
Total value |
540 u |
85 u |
28 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 4 is 20.
Fraction of tickets sold were for adults below 60 years
=
1515 + 5 + 4 =
1524 =
58 (b)
Amount collected from the sale of tickets
= 540 u + 85 u + 28 u
= 653 u
653 u = 6530
1 u = 6530 ÷ 653 = 10
Total number of tickets sold
= 15 u + 5 u + 4 u
= 24 u
= 24 x 10
= 240
Answer(s): (a)
58; (b) 240