PSLE At a soccer match, 25% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 390 tickets were given away free. The total amount of money collected was $3960. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 10%
= 65%
65% → 390
1% → 390 ÷ 65 = 6
Number of tickets sold at full price
= 25% of the tickets
= 25 x 6
= 150
Number of tickets sold at half price
= 10% of the tickets
= 10 x 6
= 60
|
Full price |
Half price |
Free |
Total |
Number |
150 |
60 |
390 |
|
Value |
2 u |
1 u |
|
|
Total value |
300 u |
60 u |
|
360 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 150 x 2 u + 60 x 1 u
= 300 u + 60 u
= 360 u
360 u = 3960
1 u = 3960 ÷ 360 = 11
Price of the ticket at half price
= 1 u
= $11
Answer(s): $11