PSLE At a theme park, 60% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 240 tickets were given away free. The total amount of money collected was $27040. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 60% - 10%
= 30%
30% → 240
1% → 240 ÷ 30 = 8
Number of tickets sold at full price
= 60% of the tickets
= 60 x 8
= 480
Number of tickets sold at half price
= 10% of the tickets
= 10 x 8
= 80
|
Full price |
Half price |
Free |
Total |
Number |
480 |
80 |
240 |
|
Value |
2 u |
1 u |
|
|
Total value |
960 u |
80 u |
|
1040 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 480 x 2 u + 80 x 1 u
= 960 u + 80 u
= 1040 u
1040 u = 27040
1 u = 27040 ÷ 1040 = 26
Price of the ticket at half price
= 1 u
= $26
Answer(s): $26