PSLE At a soccer match, 20% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 405 tickets were given away free. The total amount of money collected was $8775. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 20% - 35%
= 45%
45% → 405
1% → 405 ÷ 45 = 9
Number of tickets sold at full price
= 20% of the tickets
= 20 x 9
= 180
Number of tickets sold at half price
= 35% of the tickets
= 35 x 9
= 315
|
Full price |
Half price |
Free |
Total |
Number |
180 |
315 |
405 |
|
Value |
2 u |
1 u |
|
|
Total value |
360 u |
315 u |
|
675 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 180 x 2 u + 315 x 1 u
= 360 u + 315 u
= 675 u
675 u = 8775
1 u = 8775 ÷ 675 = 13
Price of the ticket at half price
= 1 u
= $13
Answer(s): $13