PSLE At a soccer match, 20% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 585 tickets were given away free. The total amount of money collected was $7425. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 20% - 15%
= 65%
65% → 585
1% → 585 ÷ 65 = 9
Number of tickets sold at full price
= 20% of the tickets
= 20 x 9
= 180
Number of tickets sold at half price
= 15% of the tickets
= 15 x 9
= 135
|
Full price |
Half price |
Free |
Total |
Number |
180 |
135 |
585 |
|
Value |
2 u |
1 u |
|
|
Total value |
360 u |
135 u |
|
495 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 180 x 2 u + 135 x 1 u
= 360 u + 135 u
= 495 u
495 u = 7425
1 u = 7425 ÷ 495 = 15
Full price of the ticket
= 2 u
= 2 x 15
= $30
Answer(s): $30