PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 65 years |
$37 |
65 years and above |
$20 |
Child |
Below 16 years |
$6 |
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 6 times the number of child tickets sold.
710 of the adult tickets sold were for adults aged below 65 years. A total of $10857 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 |
6x5 |
1x5 |
Below 65 years |
65 years and above |
|
7x3 |
3x3 |
|
21 u |
9 u |
5 u |
|
Adults Below 65 years |
Adults 65 years and above |
Children |
Number |
21 u |
9 u |
5 u |
Value |
$37 |
$20 |
$6 |
Total value |
777 u |
180 u |
30 u |
(a)
The number of adults is the repeated identity. LCM of 6 and 10 is 30.
Fraction of tickets sold were for adults below 65 years
=
2121 + 9 + 5 =
2135 =
35 (b)
Amount collected from the sale of tickets
= 777 u + 180 u + 30 u
= 987 u
987 u = 10857
1 u = 10857 ÷ 987 = 11
Total number of tickets sold
= 21 u + 9 u + 5 u
= 35 u
= 35 x 11
= 385
Answer(s): (a)
35; (b) 385