PSLE At a basketball match, 20% of the tickets were sold at full price and 65% of the tickets at half price. The remaining 105 tickets were given away free. The total amount of money collected was $20580. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 20% - 65%
= 15%
15% → 105
1% → 105 ÷ 15 = 7
Number of tickets sold at full price
= 20% of the tickets
= 20 x 7
= 140
Number of tickets sold at half price
= 65% of the tickets
= 65 x 7
= 455
|
Full price |
Half price |
Free |
Total |
Number |
140 |
455 |
105 |
|
Value |
2 u |
1 u |
|
|
Total value |
280 u |
455 u |
|
735 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 140 x 2 u + 455 x 1 u
= 280 u + 455 u
= 735 u
735 u = 20580
1 u = 20580 ÷ 735 = 28
Price of the ticket at half price
= 1 u
= $28
Answer(s): $28