PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$35 |
55 years and above |
$25 |
Child |
Below 12 years |
$10 |
The table shows the prices of tickets for a musical.
The number of adult tickets sold was 3 times the number of child tickets sold.
45 of the adult tickets sold were for adults aged below 55 years. A total of $7630 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 |
|
4x3 |
1x3 |
|
12 u |
3 u |
5 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
12 u |
3 u |
5 u |
Value |
$35 |
$25 |
$10 |
Total value |
420 u |
75 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
=
1212 + 3 + 5 =
1220 =
35 (b)
Amount collected from the sale of tickets
= 420 u + 75 u + 50 u
= 545 u
545 u = 7630
1 u = 7630 ÷ 545 = 14
Total number of tickets sold
= 12 u + 3 u + 5 u
= 20 u
= 20 x 14
= 280
Answer(s): (a)
35; (b) 280