PSLE At a soccer match, 45% of the tickets were sold at full price and 50% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $23800. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 50%
= 5%
5% → 50
1% → 50 ÷ 5 = 10
Number of tickets sold at full price
= 45% of the tickets
= 45 x 10
= 450
Number of tickets sold at half price
= 50% of the tickets
= 50 x 10
= 500
|
Full price |
Half price |
Free |
Total |
Number |
450 |
500 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
900 u |
500 u |
|
1400 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 450 x 2 u + 500 x 1 u
= 900 u + 500 u
= 1400 u
1400 u = 23800
1 u = 23800 ÷ 1400 = 17
Full price of the ticket
= 2 u
= 2 x 17
= $34
Answer(s): $34