PSLE At a theme park, 45% of the tickets were sold at full price and 45% of the tickets at half price. The remaining 80 tickets were given away free. The total amount of money collected was $27000. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 45% - 45%
= 10%
10% → 80
1% → 80 ÷ 10 = 8
Number of tickets sold at full price
= 45% of the tickets
= 45 x 8
= 360
Number of tickets sold at half price
= 45% of the tickets
= 45 x 8
= 360
|
Full price |
Half price |
Free |
Total |
Number |
360 |
360 |
80 |
|
Value |
2 u |
1 u |
|
|
Total value |
720 u |
360 u |
|
1080 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 360 x 2 u + 360 x 1 u
= 720 u + 360 u
= 1080 u
1080 u = 27000
1 u = 27000 ÷ 1080 = 25
Price of the ticket at half price
= 1 u
= $25
Answer(s): $25