PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$43 |
60 years and above |
$32 |
Child |
Below 12 years |
$14 |
The table shows the prices of tickets for a concert.
The number of adult tickets sold was 6 times the number of child tickets sold.
710 of the adult tickets sold were for adults aged below 60 years. A total of $11349 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 |
6x5 |
1x5 |
Below 60 years |
60 years and above |
|
7x3 |
3x3 |
|
21 u |
9 u |
5 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
21 u |
9 u |
5 u |
Value |
$43 |
$32 |
$14 |
Total value |
903 u |
288 u |
70 u |
(a)
The number of adults is the repeated identity. LCM of 6 and 10 is 30.
Fraction of tickets sold were for adults below 60 years
=
2121 + 9 + 5 =
2135 =
35 (b)
Amount collected from the sale of tickets
= 903 u + 288 u + 70 u
= 1261 u
1261 u = 11349
1 u = 11349 ÷ 1261 = 9
Total number of tickets sold
= 21 u + 9 u + 5 u
= 35 u
= 35 x 9
= 315
Answer(s): (a)
35; (b) 315