PSLE At a theme park, 35% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 300 tickets were given away free. The total amount of money collected was $13650. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 35% - 35%
= 30%
30% → 300
1% → 300 ÷ 30 = 10
Number of tickets sold at full price
= 35% of the tickets
= 35 x 10
= 350
Number of tickets sold at half price
= 35% of the tickets
= 35 x 10
= 350
|
Full price |
Half price |
Free |
Total |
Number |
350 |
350 |
300 |
|
Value |
2 u |
1 u |
|
|
Total value |
700 u |
350 u |
|
1050 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 350 x 2 u + 350 x 1 u
= 700 u + 350 u
= 1050 u
1050 u = 13650
1 u = 13650 ÷ 1050 = 13
Full price of the ticket
= 2 u
= 2 x 13
= $26
Answer(s): $26