PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 60 years |
$50 |
60 years and above |
$33 |
Child |
Below 12 years |
$14 |
The table shows the prices of tickets for a musical.
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 60 years. A total of $18075 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 |
6x4 |
1x4 |
Below 60 years |
60 years and above |
|
7x3 |
1x3 |
|
21 u |
3 u |
4 u |
|
Adults Below 60 years |
Adults 60 years and above |
Children |
Number |
21 u |
3 u |
4 u |
Value |
$50 |
$33 |
$14 |
Total value |
1050 u |
99 u |
56 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 60 years
=
2121 + 3 + 4 =
2128 =
34 (b)
Amount collected from the sale of tickets
= 1050 u + 99 u + 56 u
= 1205 u
1205 u = 18075
1 u = 18075 ÷ 1205 = 15
Total number of tickets sold
= 21 u + 3 u + 4 u
= 28 u
= 28 x 15
= 420
Answer(s): (a)
34; (b) 420