PSLE At a fun fair, 25% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 360 tickets were given away free. The total amount of money collected was $20655. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 25% - 35%
= 40%
40% → 360
1% → 360 ÷ 40 = 9
Number of tickets sold at full price
= 25% of the tickets
= 25 x 9
= 225
Number of tickets sold at half price
= 35% of the tickets
= 35 x 9
= 315
|
Full price |
Half price |
Free |
Total |
Number |
225 |
315 |
360 |
|
Value |
2 u |
1 u |
|
|
Total value |
450 u |
315 u |
|
765 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 225 x 2 u + 315 x 1 u
= 450 u + 315 u
= 765 u
765 u = 20655
1 u = 20655 ÷ 765 = 27
Full price of the ticket
= 2 u
= 2 x 27
= $54
Answer(s): $54