PSLE At a soccer match, 60% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $14040. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 60% - 10%
= 30%
30% → 180
1% → 180 ÷ 30 = 6
Number of tickets sold at full price
= 60% of the tickets
= 60 x 6
= 360
Number of tickets sold at half price
= 10% of the tickets
= 10 x 6
= 60
|
Full price |
Half price |
Free |
Total |
Number |
360 |
60 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
720 u |
60 u |
|
780 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 360 x 2 u + 60 x 1 u
= 720 u + 60 u
= 780 u
780 u = 14040
1 u = 14040 ÷ 780 = 18
Price of the ticket at half price
= 1 u
= $18
Answer(s): $18