PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 65 years |
$36 |
65 years and above |
$22 |
Child |
Below 16 years |
$11 |
The table shows the prices of tickets for a concert.
The number of adult tickets sold was 6 times the number of child tickets sold.
78 of the adult tickets sold were for adults aged below 65 years. A total of $11258 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 |
6x4 |
1x4 |
Below 65 years |
65 years and above |
|
7x3 |
1x3 |
|
21 u |
3 u |
4 u |
|
Adults Below 65 years |
Adults 65 years and above |
Children |
Number |
21 u |
3 u |
4 u |
Value |
$36 |
$22 |
$11 |
Total value |
756 u |
66 u |
44 u |
(a)
The number of adults is the repeated identity. LCM of 6 and 8 is 24.
Fraction of tickets sold were for adults below 65 years
=
2121 + 3 + 4 =
2128 =
34 (b)
Amount collected from the sale of tickets
= 756 u + 66 u + 44 u
= 866 u
866 u = 11258
1 u = 11258 ÷ 866 = 13
Total number of tickets sold
= 21 u + 3 u + 4 u
= 28 u
= 28 x 13
= 364
Answer(s): (a)
34; (b) 364