PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$40 |
55 years and above |
$26 |
Child |
Below 12 years |
$13 |
The table shows the prices of tickets for a basketball tournament.
The number of adult tickets sold was 5 times the number of child tickets sold.
710 of the adult tickets sold were for adults aged below 55 years. A total of $2304 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults aged 55 years and above? Give your answer in the simplest form.
- What was the total number of tickets sold to adults?
Adults |
Children |
5x2 |
1x2 |
Below 55 years |
55 years and above |
|
7x1 |
3x1 |
|
7 u |
3 u |
2 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
7 u |
3 u |
2 u |
Value |
$40 |
$26 |
$13 |
Total value |
280 u |
78 u |
26 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 10 is 10.
Fraction of tickets sold were for adults aged 55 years and more
=
37 + 3 + 2 =
312 =
14 (b)
Amount collected from the sale of tickets
= 280 u + 78 u + 26 u
= 384 u
384 u = 2304
1 u = 2304 ÷ 384 = 6
Total number of tickets sold to adults
= 7 u + 3 u
= 10 u
= 10 x 6
= 60
Answer(s): (a)
14; (b) 60