PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$43 |
55 years and above |
$27 |
Child |
Below 16 years |
$14 |
The table shows the prices of tickets for a musical.
The number of adult tickets sold was 5 times the number of child tickets sold.
58 of the adult tickets sold were for adults aged below 55 years. A total of $20696 was collected from the sale of tickets.
- What fraction of the tickets sold were for adults aged 55 years and above? Give your answer in the simplest form.
- What was the total number of tickets sold to adults?
Adults |
Children |
5x8 |
1x8 |
Below 55 years |
55 years and above |
|
5x5 |
3x5 |
|
25 u |
15 u |
8 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
25 u |
15 u |
8 u |
Value |
$43 |
$27 |
$14 |
Total value |
1075 u |
405 u |
112 u |
(a)
The number of adults is the repeated identity. LCM of 5 and 8 is 40.
Fraction of tickets sold were for adults aged 55 years and more
=
1525 + 15 + 8 =
1548 =
516 (b)
Amount collected from the sale of tickets
= 1075 u + 405 u + 112 u
= 1592 u
1592 u = 20696
1 u = 20696 ÷ 1592 = 13
Total number of tickets sold to adults
= 25 u + 15 u
= 40 u
= 40 x 13
= 520
Answer(s): (a)
516; (b) 520