PSLE At a fun fair, 55% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 120 tickets were given away free. The total amount of money collected was $7500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 55% - 15%
= 30%
30% → 120
1% → 120 ÷ 30 = 4
Number of tickets sold at full price
= 55% of the tickets
= 55 x 4
= 220
Number of tickets sold at half price
= 15% of the tickets
= 15 x 4
= 60
|
Full price |
Half price |
Free |
Total |
Number |
220 |
60 |
120 |
|
Value |
2 u |
1 u |
|
|
Total value |
440 u |
60 u |
|
500 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 220 x 2 u + 60 x 1 u
= 440 u + 60 u
= 500 u
500 u = 7500
1 u = 7500 ÷ 500 = 15
Price of the ticket at half price
= 1 u
= $15
Answer(s): $15