PSLE At a basketball match, 25% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $15120. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 55%
= 20%
20% → 180
1% → 180 ÷ 20 = 9
Number of tickets sold at full price
= 25% of the tickets
= 25 x 9
= 225
Number of tickets sold at half price
= 55% of the tickets
= 55 x 9
= 495
|
Full price |
Half price |
Free |
Total |
Number |
225 |
495 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
450 u |
495 u |
|
945 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 225 x 2 u + 495 x 1 u
= 450 u + 495 u
= 945 u
945 u = 15120
1 u = 15120 ÷ 945 = 16
Price of the ticket at half price
= 1 u
= $16
Answer(s): $16