PSLE At a soccer match, 45% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 45 tickets were given away free. The total amount of money collected was $9750. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 40%
= 15%
15% → 45
1% → 45 ÷ 15 = 3
Number of tickets sold at full price
= 45% of the tickets
= 45 x 3
= 135
Number of tickets sold at half price
= 40% of the tickets
= 40 x 3
= 120
|
Full price |
Half price |
Free |
Total |
Number |
135 |
120 |
45 |
|
Value |
2 u |
1 u |
|
|
Total value |
270 u |
120 u |
|
390 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 135 x 2 u + 120 x 1 u
= 270 u + 120 u
= 390 u
390 u = 9750
1 u = 9750 ÷ 390 = 25
Full price of the ticket
= 2 u
= 2 x 25
= $50
Answer(s): $50