PSLE At a carnival, 40% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 500 tickets were given away free. The total amount of money collected was $22500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 40% - 10%
= 50%
50% → 500
1% → 500 ÷ 50 = 10
Number of tickets sold at full price
= 40% of the tickets
= 40 x 10
= 400
Number of tickets sold at half price
= 10% of the tickets
= 10 x 10
= 100
|
Full price |
Half price |
Free |
Total |
Number |
400 |
100 |
500 |
|
Value |
2 u |
1 u |
|
|
Total value |
800 u |
100 u |
|
900 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 400 x 2 u + 100 x 1 u
= 800 u + 100 u
= 900 u
900 u = 22500
1 u = 22500 ÷ 900 = 25
Price of the ticket at half price
= 1 u
= $25
Answer(s): $25