PSLE At a carnival, 20% of the tickets were sold at full price and 75% of the tickets at half price. The remaining 20 tickets were given away free. The total amount of money collected was $13800. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 20% - 75%
= 5%
5% → 20
1% → 20 ÷ 5 = 4
Number of tickets sold at full price
= 20% of the tickets
= 20 x 4
= 80
Number of tickets sold at half price
= 75% of the tickets
= 75 x 4
= 300
|
Full price |
Half price |
Free |
Total |
Number |
80 |
300 |
20 |
|
Value |
2 u |
1 u |
|
|
Total value |
160 u |
300 u |
|
460 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 80 x 2 u + 300 x 1 u
= 160 u + 300 u
= 460 u
460 u = 13800
1 u = 13800 ÷ 460 = 30
Full price of the ticket
= 2 u
= 2 x 30
= $60
Answer(s): $60