PSLE At a theme park, 30% of the tickets were sold at full price and 50% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $19800. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 30% - 50%
= 20%
20% → 180
1% → 180 ÷ 20 = 9
Number of tickets sold at full price
= 30% of the tickets
= 30 x 9
= 270
Number of tickets sold at half price
= 50% of the tickets
= 50 x 9
= 450
|
Full price |
Half price |
Free |
Total |
Number |
270 |
450 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
540 u |
450 u |
|
990 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 270 x 2 u + 450 x 1 u
= 540 u + 450 u
= 990 u
990 u = 19800
1 u = 19800 ÷ 990 = 20
Full price of the ticket
= 2 u
= 2 x 20
= $40
Answer(s): $40