PSLE
Type |
Age |
Price per ticket |
Adult
|
Below 55 years |
$44 |
55 years and above |
$32 |
Child |
Below 16 years |
$14 |
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.
35 of the adult tickets sold were for adults aged below 55 years. A total of $7896 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 |
3x5 |
1x5 |
Below 55 years |
55 years and above |
|
3x3 |
2x3 |
|
9 u |
6 u |
5 u |
|
Adults Below 55 years |
Adults 55 years and above |
Children |
Number |
9 u |
6 u |
5 u |
Value |
$44 |
$32 |
$14 |
Total value |
396 u |
192 u |
70 u |
(a)
The number of adults is the repeated identity. LCM of 3 and 5 is 15.
Fraction of tickets sold were for adults aged 55 years and more
=
69 + 6 + 5 =
620 =
310 (b)
Amount collected from the sale of tickets
= 396 u + 192 u + 70 u
= 658 u
658 u = 7896
1 u = 7896 ÷ 658 = 12
Total number of tickets sold to adults
= 9 u + 6 u
= 15 u
= 15 x 12
= 180
Answer(s): (a)
310; (b) 180