PSLE At a theme park, 20% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 320 tickets were given away free. The total amount of money collected was $17280. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 20% - 40%
= 40%
40% → 320
1% → 320 ÷ 40 = 8
Number of tickets sold at full price
= 20% of the tickets
= 20 x 8
= 160
Number of tickets sold at half price
= 40% of the tickets
= 40 x 8
= 320
|
Full price |
Half price |
Free |
Total |
Number |
160 |
320 |
320 |
|
Value |
2 u |
1 u |
|
|
Total value |
320 u |
320 u |
|
640 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 160 x 2 u + 320 x 1 u
= 320 u + 320 u
= 640 u
640 u = 17280
1 u = 17280 ÷ 640 = 27
Full price of the ticket
= 2 u
= 2 x 27
= $54
Answer(s): $54