PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$27 |
55 years and above |
$16 |
Child |
Below 12 years |
$6 |
The table shows the prices of tickets for a concert.
The number of adult tickets sold was 5 times the number of child tickets sold.
710 of the adult tickets sold were for adults aged below 55 years. A total of $3237 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults aged 55 years and above? Give your answer in the simplest form.
- What was the total number of tickets sold to adults?
Adults |
Children |
5x2 |
1x2 |
Below 55 years |
55 years and above |
|
7x1 |
3x1 |
|
7 u |
3 u |
2 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
7 u |
3 u |
2 u |
Value |
$27 |
$16 |
$6 |
Total value |
189 u |
48 u |
12 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 10 is 10.
Fraction of tickets sold were for adults aged 55 years and more
=
37 + 3 + 2 =
312 =
14 (b)
Amount collected from the sale of tickets
= 189 u + 48 u + 12 u
= 249 u
249 u = 3237
1 u = 3237 ÷ 249 = 13
Total number of tickets sold to adults
= 7 u + 3 u
= 10 u
= 10 x 13
= 130
Answer(s): (a)
14; (b) 130