PSLE At a theme park, 60% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 175 tickets were given away free. The total amount of money collected was $20790. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 60% - 15%
= 25%
25% → 175
1% → 175 ÷ 25 = 7
Number of tickets sold at full price
= 60% of the tickets
= 60 x 7
= 420
Number of tickets sold at half price
= 15% of the tickets
= 15 x 7
= 105
|
Full price |
Half price |
Free |
Total |
Number |
420 |
105 |
175 |
|
Value |
2 u |
1 u |
|
|
Total value |
840 u |
105 u |
|
945 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 420 x 2 u + 105 x 1 u
= 840 u + 105 u
= 945 u
945 u = 20790
1 u = 20790 ÷ 945 = 22
Price of the ticket at half price
= 1 u
= $22
Answer(s): $22