PSLE At a theme park, 15% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 560 tickets were given away free. The total amount of money collected was $6120. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 15%
= 70%
70% → 560
1% → 560 ÷ 70 = 8
Number of tickets sold at full price
= 15% of the tickets
= 15 x 8
= 120
Number of tickets sold at half price
= 15% of the tickets
= 15 x 8
= 120
|
Full price |
Half price |
Free |
Total |
Number |
120 |
120 |
560 |
|
Value |
2 u |
1 u |
|
|
Total value |
240 u |
120 u |
|
360 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 120 x 2 u + 120 x 1 u
= 240 u + 120 u
= 360 u
360 u = 6120
1 u = 6120 ÷ 360 = 17
Full price of the ticket
= 2 u
= 2 x 17
= $34
Answer(s): $34