PSLE At a basketball match, 10% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 260 tickets were given away free. The total amount of money collected was $4320. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 25%
= 65%
65% → 260
1% → 260 ÷ 65 = 4
Number of tickets sold at full price
= 10% of the tickets
= 10 x 4
= 40
Number of tickets sold at half price
= 25% of the tickets
= 25 x 4
= 100
|
Full price |
Half price |
Free |
Total |
Number |
40 |
100 |
260 |
|
Value |
2 u |
1 u |
|
|
Total value |
80 u |
100 u |
|
180 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 40 x 2 u + 100 x 1 u
= 80 u + 100 u
= 180 u
180 u = 4320
1 u = 4320 ÷ 180 = 24
Price of the ticket at half price
= 1 u
= $24
Answer(s): $24