PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 65 years |
$40 |
65 years and above |
$20 |
Child |
Below 12 years |
$8 |
The table shows the prices of tickets for a musical.
The number of adult tickets sold was 3 times the number of child tickets sold.
25 of the adult tickets sold were for adults aged below 65 years. A total of $2760 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 |
3x5 |
1x5 |
Below 65 years |
65 years and above |
|
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
|
Adults Below 65 years |
Adults 65 years and above |
Children |
Number |
6 u |
9 u |
5 u |
Value |
$40 |
$20 |
$8 |
Total value |
240 u |
180 u |
40 u |
(a)
The number of adults is the repeated identity. LCM of 3 and 5 is 15.
Fraction of tickets sold were for adults below 65 years
=
66 + 9 + 5 =
620 =
310 (b)
Amount collected from the sale of tickets
= 240 u + 180 u + 40 u
= 460 u
460 u = 2760
1 u = 2760 ÷ 460 = 6
Total number of tickets sold
= 6 u + 9 u + 5 u
= 20 u
= 20 x 6
= 120
Answer(s): (a)
310; (b) 120