PSLE At a basketball match, 30% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 105 tickets were given away free. The total amount of money collected was $23345. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 30% - 55%
= 15%
15% → 105
1% → 105 ÷ 15 = 7
Number of tickets sold at full price
= 30% of the tickets
= 30 x 7
= 210
Number of tickets sold at half price
= 55% of the tickets
= 55 x 7
= 385
|
Full price |
Half price |
Free |
Total |
Number |
210 |
385 |
105 |
|
Value |
2 u |
1 u |
|
|
Total value |
420 u |
385 u |
|
805 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 210 x 2 u + 385 x 1 u
= 420 u + 385 u
= 805 u
805 u = 23345
1 u = 23345 ÷ 805 = 29
Price of the ticket at half price
= 1 u
= $29
Answer(s): $29