PSLE At a soccer match, 50% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 60 tickets were given away free. The total amount of money collected was $8970. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 50% - 30%
= 20%
20% → 60
1% → 60 ÷ 20 = 3
Number of tickets sold at full price
= 50% of the tickets
= 50 x 3
= 150
Number of tickets sold at half price
= 30% of the tickets
= 30 x 3
= 90
|
Full price |
Half price |
Free |
Total |
Number |
150 |
90 |
60 |
|
Value |
2 u |
1 u |
|
|
Total value |
300 u |
90 u |
|
390 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 150 x 2 u + 90 x 1 u
= 300 u + 90 u
= 390 u
390 u = 8970
1 u = 8970 ÷ 390 = 23
Price of the ticket at half price
= 1 u
= $23
Answer(s): $23