PSLE At a fun fair, 25% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 165 tickets were given away free. The total amount of money collected was $5040. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 20%
= 55%
55% → 165
1% → 165 ÷ 55 = 3
Number of tickets sold at full price
= 25% of the tickets
= 25 x 3
= 75
Number of tickets sold at half price
= 20% of the tickets
= 20 x 3
= 60
|
Full price |
Half price |
Free |
Total |
Number |
75 |
60 |
165 |
|
Value |
2 u |
1 u |
|
|
Total value |
150 u |
60 u |
|
210 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 75 x 2 u + 60 x 1 u
= 150 u + 60 u
= 210 u
210 u = 5040
1 u = 5040 ÷ 210 = 24
Price of the ticket at half price
= 1 u
= $24
Answer(s): $24