PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$40 |
55 years and above |
$26 |
Child |
Below 16 years |
$11 |
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.
34 of the adult tickets sold were for adults aged below 55 years. A total of $12384 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults below 55 years? Give your answer in the simplest form.
- What was the total number of tickets sold?
Adults |
Children |
5x4 |
1x4 |
Below 55 years |
55 years and above |
|
3x5 |
1x5 |
|
15 u |
5 u |
4 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
15 u |
5 u |
4 u |
Value |
$40 |
$26 |
$11 |
Total value |
600 u |
130 u |
44 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 55 years
=
1515 + 5 + 4 =
1524 =
58 (b)
Amount collected from the sale of tickets
= 600 u + 130 u + 44 u
= 774 u
774 u = 12384
1 u = 12384 ÷ 774 = 16
Total number of tickets sold
= 15 u + 5 u + 4 u
= 24 u
= 24 x 16
= 384
Answer(s): (a)
58; (b) 384