PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$30 |
55 years and above |
$17 |
Child |
Below 12 years |
$6 |
The table shows the prices of tickets for a basketball tournament.
The number of adult tickets sold was 4 times the number of child tickets sold.
58 of the adult tickets sold were for adults aged below 55 years. A total of $1491 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults below 55 years? Give your answer in the simplest form.
- What was the total number of tickets sold?
Adults |
Children |
4x2 |
1x2 |
Below 55 years |
55 years and above |
|
5x1 |
3x1 |
|
5 u |
3 u |
2 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
5 u |
3 u |
2 u |
Value |
$30 |
$17 |
$6 |
Total value |
150 u |
51 u |
12 u |
(a)
The number of adults is the repeated identity. LCM of 4 and 8 is 8.
Fraction of tickets sold were for adults below 55 years
=
55 + 3 + 2 =
510 =
12 (b)
Amount collected from the sale of tickets
= 150 u + 51 u + 12 u
= 213 u
213 u = 1491
1 u = 1491 ÷ 213 = 7
Total number of tickets sold
= 5 u + 3 u + 2 u
= 10 u
= 10 x 7
= 70
Answer(s): (a)
12; (b) 70