PSLE At a soccer match, 10% of the tickets were sold at full price and 75% of the tickets at half price. The remaining 90 tickets were given away free. The total amount of money collected was $12540. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 10% - 75%
= 15%
15% → 90
1% → 90 ÷ 15 = 6
Number of tickets sold at full price
= 10% of the tickets
= 10 x 6
= 60
Number of tickets sold at half price
= 75% of the tickets
= 75 x 6
= 450
|
Full price |
Half price |
Free |
Total |
Number |
60 |
450 |
90 |
|
Value |
2 u |
1 u |
|
|
Total value |
120 u |
450 u |
|
570 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 60 x 2 u + 450 x 1 u
= 120 u + 450 u
= 570 u
570 u = 12540
1 u = 12540 ÷ 570 = 22
Full price of the ticket
= 2 u
= 2 x 22
= $44
Answer(s): $44