PSLE At a soccer match, 10% of the tickets were sold at full price and 80% of the tickets at half price. The remaining 90 tickets were given away free. The total amount of money collected was $9000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 10% - 80%
= 10%
10% → 90
1% → 90 ÷ 10 = 9
Number of tickets sold at full price
= 10% of the tickets
= 10 x 9
= 90
Number of tickets sold at half price
= 80% of the tickets
= 80 x 9
= 720
|
Full price |
Half price |
Free |
Total |
Number |
90 |
720 |
90 |
|
Value |
2 u |
1 u |
|
|
Total value |
180 u |
720 u |
|
900 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 90 x 2 u + 720 x 1 u
= 180 u + 720 u
= 900 u
900 u = 9000
1 u = 9000 ÷ 900 = 10
Full price of the ticket
= 2 u
= 2 x 10
= $20
Answer(s): $20