PSLE At a soccer match, 30% of the tickets were sold at full price and 50% of the tickets at half price. The remaining 40 tickets were given away free. The total amount of money collected was $2640. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 30% - 50%
= 20%
20% → 40
1% → 40 ÷ 20 = 2
Number of tickets sold at full price
= 30% of the tickets
= 30 x 2
= 60
Number of tickets sold at half price
= 50% of the tickets
= 50 x 2
= 100
|
Full price |
Half price |
Free |
Total |
Number |
60 |
100 |
40 |
|
Value |
2 u |
1 u |
|
|
Total value |
120 u |
100 u |
|
220 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 60 x 2 u + 100 x 1 u
= 120 u + 100 u
= 220 u
220 u = 2640
1 u = 2640 ÷ 220 = 12
Price of the ticket at half price
= 1 u
= $12
Answer(s): $12