PSLE At a theme park, 45% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 80 tickets were given away free. The total amount of money collected was $13000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 35%
= 20%
20% → 80
1% → 80 ÷ 20 = 4
Number of tickets sold at full price
= 45% of the tickets
= 45 x 4
= 180
Number of tickets sold at half price
= 35% of the tickets
= 35 x 4
= 140
|
Full price |
Half price |
Free |
Total |
Number |
180 |
140 |
80 |
|
Value |
2 u |
1 u |
|
|
Total value |
360 u |
140 u |
|
500 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 180 x 2 u + 140 x 1 u
= 360 u + 140 u
= 500 u
500 u = 13000
1 u = 13000 ÷ 500 = 26
Full price of the ticket
= 2 u
= 2 x 26
= $52
Answer(s): $52