PSLE At a soccer match, 30% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 240 tickets were given away free. The total amount of money collected was $12960. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 30% - 30%
= 40%
40% → 240
1% → 240 ÷ 40 = 6
Number of tickets sold at full price
= 30% of the tickets
= 30 x 6
= 180
Number of tickets sold at half price
= 30% of the tickets
= 30 x 6
= 180
|
Full price |
Half price |
Free |
Total |
Number |
180 |
180 |
240 |
|
Value |
2 u |
1 u |
|
|
Total value |
360 u |
180 u |
|
540 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 180 x 2 u + 180 x 1 u
= 360 u + 180 u
= 540 u
540 u = 12960
1 u = 12960 ÷ 540 = 24
Full price of the ticket
= 2 u
= 2 x 24
= $48
Answer(s): $48