PSLE At a theme park, 65% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 15 tickets were given away free. The total amount of money collected was $8160. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 65% - 30%
= 5%
5% → 15
1% → 15 ÷ 5 = 3
Number of tickets sold at full price
= 65% of the tickets
= 65 x 3
= 195
Number of tickets sold at half price
= 30% of the tickets
= 30 x 3
= 90
|
Full price |
Half price |
Free |
Total |
Number |
195 |
90 |
15 |
|
Value |
2 u |
1 u |
|
|
Total value |
390 u |
90 u |
|
480 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 195 x 2 u + 90 x 1 u
= 390 u + 90 u
= 480 u
480 u = 8160
1 u = 8160 ÷ 480 = 17
Full price of the ticket
= 2 u
= 2 x 17
= $34
Answer(s): $34