PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$33 |
60 years and above |
$20 |
Child |
Below 16 years |
$7 |
The table shows the prices of tickets for a basketball tournament.
The number of adult tickets sold was 4 times the number of child tickets sold.
58 of the adult tickets sold were for adults aged below 60 years. A total of $4780 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 |
4x2 |
1x2 |
Below 60 years |
60 years and above |
|
5x1 |
3x1 |
|
5 u |
3 u |
2 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
5 u |
3 u |
2 u |
Value |
$33 |
$20 |
$7 |
Total value |
165 u |
60 u |
14 u |
(a)
The number of adults is the repeated identity. LCM of 4 and 8 is 8.
Fraction of tickets sold were for adults below 60 years
=
55 + 3 + 2 =
510 =
12 (b)
Amount collected from the sale of tickets
= 165 u + 60 u + 14 u
= 239 u
239 u = 4780
1 u = 4780 ÷ 239 = 20
Total number of tickets sold
= 5 u + 3 u + 2 u
= 10 u
= 10 x 20
= 200
Answer(s): (a)
12; (b) 200