PSLE At a soccer match, 60% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 20 tickets were given away free. The total amount of money collected was $5400. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 60% - 30%
= 10%
10% → 20
1% → 20 ÷ 10 = 2
Number of tickets sold at full price
= 60% of the tickets
= 60 x 2
= 120
Number of tickets sold at half price
= 30% of the tickets
= 30 x 2
= 60
|
Full price |
Half price |
Free |
Total |
Number |
120 |
60 |
20 |
|
Value |
2 u |
1 u |
|
|
Total value |
240 u |
60 u |
|
300 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 120 x 2 u + 60 x 1 u
= 240 u + 60 u
= 300 u
300 u = 5400
1 u = 5400 ÷ 300 = 18
Price of the ticket at half price
= 1 u
= $18
Answer(s): $18