PSLE At a soccer match, 50% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $17500. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 50% - 40%
= 10%
10% → 50
1% → 50 ÷ 10 = 5
Number of tickets sold at full price
= 50% of the tickets
= 50 x 5
= 250
Number of tickets sold at half price
= 40% of the tickets
= 40 x 5
= 200
|
Full price |
Half price |
Free |
Total |
Number |
250 |
200 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
500 u |
200 u |
|
700 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 250 x 2 u + 200 x 1 u
= 500 u + 200 u
= 700 u
700 u = 17500
1 u = 17500 ÷ 700 = 25
Full price of the ticket
= 2 u
= 2 x 25
= $50
Answer(s): $50