PSLE At a soccer match, 15% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 630 tickets were given away free. The total amount of money collected was $6480. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 15%
= 70%
70% → 630
1% → 630 ÷ 70 = 9
Number of tickets sold at full price
= 15% of the tickets
= 15 x 9
= 135
Number of tickets sold at half price
= 15% of the tickets
= 15 x 9
= 135
|
Full price |
Half price |
Free |
Total |
Number |
135 |
135 |
630 |
|
Value |
2 u |
1 u |
|
|
Total value |
270 u |
135 u |
|
405 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 135 x 2 u + 135 x 1 u
= 270 u + 135 u
= 405 u
405 u = 6480
1 u = 6480 ÷ 405 = 16
Full price of the ticket
= 2 u
= 2 x 16
= $32
Answer(s): $32