PSLE At a carnival, 60% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $30240. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 60% - 20%
= 20%
20% → 180
1% → 180 ÷ 20 = 9
Number of tickets sold at full price
= 60% of the tickets
= 60 x 9
= 540
Number of tickets sold at half price
= 20% of the tickets
= 20 x 9
= 180
|
Full price |
Half price |
Free |
Total |
Number |
540 |
180 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
1080 u |
180 u |
|
1260 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 540 x 2 u + 180 x 1 u
= 1080 u + 180 u
= 1260 u
1260 u = 30240
1 u = 30240 ÷ 1260 = 24
Full price of the ticket
= 2 u
= 2 x 24
= $48
Answer(s): $48