PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$31 |
55 years and above |
$21 |
Child |
Below 16 years |
$8 |
The table shows the prices of tickets for a soccer match.
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 $3978 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 |
$31 |
$21 |
$8 |
Total value |
155 u |
63 u |
16 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
= 155 u + 63 u + 16 u
= 234 u
234 u = 3978
1 u = 3978 ÷ 234 = 17
Total number of tickets sold
= 5 u + 3 u + 2 u
= 10 u
= 10 x 17
= 170
Answer(s): (a)
12; (b) 170