PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 65 years |
$38 |
65 years and above |
$18 |
Child |
Below 16 years |
$5 |
The table shows the prices of tickets for a musical.
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 65 years. A total of $13600 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults below 65 years? Give your answer in the simplest form.
- What was the total number of tickets sold?
Adults |
Children |
5x4 |
1x4 |
Below 65 years |
65 years and above |
|
3x5 |
1x5 |
|
15 u |
5 u |
4 u |
|
Adults Below 65 years |
Adults 65 years and above |
Children |
Number |
15 u |
5 u |
4 u |
Value |
$38 |
$18 |
$5 |
Total value |
570 u |
90 u |
20 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 65 years
=
1515 + 5 + 4 =
1524 =
58 (b)
Amount collected from the sale of tickets
= 570 u + 90 u + 20 u
= 680 u
680 u = 13600
1 u = 13600 ÷ 680 = 20
Total number of tickets sold
= 15 u + 5 u + 4 u
= 24 u
= 24 x 20
= 480
Answer(s): (a)
58; (b) 480