PSLE At a soccer match, 40% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 140 tickets were given away free. The total amount of money collected was $13440. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 40% - 40%
= 20%
20% → 140
1% → 140 ÷ 20 = 7
Number of tickets sold at full price
= 40% of the tickets
= 40 x 7
= 280
Number of tickets sold at half price
= 40% of the tickets
= 40 x 7
= 280
|
Full price |
Half price |
Free |
Total |
Number |
280 |
280 |
140 |
|
Value |
2 u |
1 u |
|
|
Total value |
560 u |
280 u |
|
840 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 280 x 2 u + 280 x 1 u
= 560 u + 280 u
= 840 u
840 u = 13440
1 u = 13440 ÷ 840 = 16
Full price of the ticket
= 2 u
= 2 x 16
= $32
Answer(s): $32