PSLE At a carnival, 55% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 90 tickets were given away free. The total amount of money collected was $18270. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 55% - 35%
= 10%
10% → 90
1% → 90 ÷ 10 = 9
Number of tickets sold at full price
= 55% of the tickets
= 55 x 9
= 495
Number of tickets sold at half price
= 35% of the tickets
= 35 x 9
= 315
|
Full price |
Half price |
Free |
Total |
Number |
495 |
315 |
90 |
|
Value |
2 u |
1 u |
|
|
Total value |
990 u |
315 u |
|
1305 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 495 x 2 u + 315 x 1 u
= 990 u + 315 u
= 1305 u
1305 u = 18270
1 u = 18270 ÷ 1305 = 14
Full price of the ticket
= 2 u
= 2 x 14
= $28
Answer(s): $28