PSLE At a soccer match, 80% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $24500. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 80% - 15%
= 5%
5% → 50
1% → 50 ÷ 5 = 10
Number of tickets sold at full price
= 80% of the tickets
= 80 x 10
= 800
Number of tickets sold at half price
= 15% of the tickets
= 15 x 10
= 150
|
Full price |
Half price |
Free |
Total |
Number |
800 |
150 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
1600 u |
150 u |
|
1750 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 800 x 2 u + 150 x 1 u
= 1600 u + 150 u
= 1750 u
1750 u = 24500
1 u = 24500 ÷ 1750 = 14
Full price of the ticket
= 2 u
= 2 x 14
= $28
Answer(s): $28