PSLE At a theme park, 10% of the tickets were sold at full price and 75% of the tickets at half price. The remaining 135 tickets were given away free. The total amount of money collected was $12825. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 75%
= 15%
15% → 135
1% → 135 ÷ 15 = 9
Number of tickets sold at full price
= 10% of the tickets
= 10 x 9
= 90
Number of tickets sold at half price
= 75% of the tickets
= 75 x 9
= 675
|
Full price |
Half price |
Free |
Total |
Number |
90 |
675 |
135 |
|
Value |
2 u |
1 u |
|
|
Total value |
180 u |
675 u |
|
855 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 90 x 2 u + 675 x 1 u
= 180 u + 675 u
= 855 u
855 u = 12825
1 u = 12825 ÷ 855 = 15
Price of the ticket at half price
= 1 u
= $15
Answer(s): $15