PSLE At a basketball match, 45% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 240 tickets were given away free. The total amount of money collected was $15640. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 45% - 25%
= 30%
30% → 240
1% → 240 ÷ 30 = 8
Number of tickets sold at full price
= 45% of the tickets
= 45 x 8
= 360
Number of tickets sold at half price
= 25% of the tickets
= 25 x 8
= 200
|
Full price |
Half price |
Free |
Total |
Number |
360 |
200 |
240 |
|
Value |
2 u |
1 u |
|
|
Total value |
720 u |
200 u |
|
920 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 360 x 2 u + 200 x 1 u
= 720 u + 200 u
= 920 u
920 u = 15640
1 u = 15640 ÷ 920 = 17
Price of the ticket at half price
= 1 u
= $17
Answer(s): $17