PSLE At a basketball match, 10% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 350 tickets were given away free. The total amount of money collected was $11250. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 55%
= 35%
35% → 350
1% → 350 ÷ 35 = 10
Number of tickets sold at full price
= 10% of the tickets
= 10 x 10
= 100
Number of tickets sold at half price
= 55% of the tickets
= 55 x 10
= 550
|
Full price |
Half price |
Free |
Total |
Number |
100 |
550 |
350 |
|
Value |
2 u |
1 u |
|
|
Total value |
200 u |
550 u |
|
750 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 100 x 2 u + 550 x 1 u
= 200 u + 550 u
= 750 u
750 u = 11250
1 u = 11250 ÷ 750 = 15
Price of the ticket at half price
= 1 u
= $15
Answer(s): $15