PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$37 |
60 years and above |
$21 |
Child |
Below 16 years |
$9 |
The table shows the prices of tickets for a soccer match.
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 60 years. A total of $7296 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 |
3x5 |
1x5 |
Below 60 years |
60 years and above |
|
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
6 u |
9 u |
5 u |
Value |
$37 |
$21 |
$9 |
Total value |
222 u |
189 u |
45 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 60 years
=
66 + 9 + 5 =
620 =
310 (b)
Amount collected from the sale of tickets
= 222 u + 189 u + 45 u
= 456 u
456 u = 7296
1 u = 7296 ÷ 456 = 16
Total number of tickets sold
= 6 u + 9 u + 5 u
= 20 u
= 20 x 16
= 320
Answer(s): (a)
310; (b) 320