PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$31 |
55 years and above |
$18 |
Child |
Below 12 years |
$5 |
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 55 years. A total of $5866 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 |
6x5 |
1x5 |
Below 55 years |
55 years and above |
|
7x3 |
3x3 |
|
21 u |
9 u |
5 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
21 u |
9 u |
5 u |
Value |
$31 |
$18 |
$5 |
Total value |
651 u |
162 u |
25 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 55 years
=
2121 + 9 + 5 =
2135 =
35 (b)
Amount collected from the sale of tickets
= 651 u + 162 u + 25 u
= 838 u
838 u = 5866
1 u = 5866 ÷ 838 = 7
Total number of tickets sold
= 21 u + 9 u + 5 u
= 35 u
= 35 x 7
= 245
Answer(s): (a)
35; (b) 245