PSLE At a fun fair, 45% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 360 tickets were given away free. The total amount of money collected was $23200. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 45% - 10%
= 45%
45% → 360
1% → 360 ÷ 45 = 8
Number of tickets sold at full price
= 45% of the tickets
= 45 x 8
= 360
Number of tickets sold at half price
= 10% of the tickets
= 10 x 8
= 80
|
Full price |
Half price |
Free |
Total |
Number |
360 |
80 |
360 |
|
Value |
2 u |
1 u |
|
|
Total value |
720 u |
80 u |
|
800 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 360 x 2 u + 80 x 1 u
= 720 u + 80 u
= 800 u
800 u = 23200
1 u = 23200 ÷ 800 = 29
Price of the ticket at half price
= 1 u
= $29
Answer(s): $29