PSLE At a soccer match, 50% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 75 tickets were given away free. The total amount of money collected was $7500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 50% - 25%
= 25%
25% → 75
1% → 75 ÷ 25 = 3
Number of tickets sold at full price
= 50% of the tickets
= 50 x 3
= 150
Number of tickets sold at half price
= 25% of the tickets
= 25 x 3
= 75
|
Full price |
Half price |
Free |
Total |
Number |
150 |
75 |
75 |
|
Value |
2 u |
1 u |
|
|
Total value |
300 u |
75 u |
|
375 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 150 x 2 u + 75 x 1 u
= 300 u + 75 u
= 375 u
375 u = 7500
1 u = 7500 ÷ 375 = 20
Price of the ticket at half price
= 1 u
= $20
Answer(s): $20