PSLE At a theme park, 55% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 280 tickets were given away free. The total amount of money collected was $20160. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 55% - 10%
= 35%
35% → 280
1% → 280 ÷ 35 = 8
Number of tickets sold at full price
= 55% of the tickets
= 55 x 8
= 440
Number of tickets sold at half price
= 10% of the tickets
= 10 x 8
= 80
|
Full price |
Half price |
Free |
Total |
Number |
440 |
80 |
280 |
|
Value |
2 u |
1 u |
|
|
Total value |
880 u |
80 u |
|
960 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 440 x 2 u + 80 x 1 u
= 880 u + 80 u
= 960 u
960 u = 20160
1 u = 20160 ÷ 960 = 21
Price of the ticket at half price
= 1 u
= $21
Answer(s): $21