PSLE At a theme park, 55% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 30 tickets were given away free. The total amount of money collected was $5880. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 55% - 30%
= 15%
15% → 30
1% → 30 ÷ 15 = 2
Number of tickets sold at full price
= 55% of the tickets
= 55 x 2
= 110
Number of tickets sold at half price
= 30% of the tickets
= 30 x 2
= 60
|
Full price |
Half price |
Free |
Total |
Number |
110 |
60 |
30 |
|
Value |
2 u |
1 u |
|
|
Total value |
220 u |
60 u |
|
280 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 110 x 2 u + 60 x 1 u
= 220 u + 60 u
= 280 u
280 u = 5880
1 u = 5880 ÷ 280 = 21
Full price of the ticket
= 2 u
= 2 x 21
= $42
Answer(s): $42