PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$42 |
55 years and above |
$30 |
Child |
Below 12 years |
$10 |
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 3 times the number of child tickets sold.
25 of the adult tickets sold were for adults aged below 55 years. A total of $2860 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 |
3x5 |
1x5 |
Below 55 years |
55 years and above |
|
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
6 u |
9 u |
5 u |
Value |
$42 |
$30 |
$10 |
Total value |
252 u |
270 u |
50 u |
(a)
The number of adults is the repeated identity. LCM of 3 and 5 is 15.
Fraction of tickets sold were for adults below 55 years
=
66 + 9 + 5 =
620 =
310 (b)
Amount collected from the sale of tickets
= 252 u + 270 u + 50 u
= 572 u
572 u = 2860
1 u = 2860 ÷ 572 = 5
Total number of tickets sold
= 6 u + 9 u + 5 u
= 20 u
= 20 x 5
= 100
Answer(s): (a)
310; (b) 100