PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$51 |
55 years and above |
$33 |
Child |
Below 16 years |
$15 |
The table shows the prices of tickets for a basketball tournament.
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 $4374 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 |
$51 |
$33 |
$15 |
Total value |
357 u |
99 u |
30 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
= 357 u + 99 u + 30 u
= 486 u
486 u = 4374
1 u = 4374 ÷ 486 = 9
Total number of tickets sold to adults
= 7 u + 3 u
= 10 u
= 10 x 9
= 90
Answer(s): (a)
14; (b) 90