PSLE At a basketball match, 15% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 60 tickets were given away free. The total amount of money collected was $4590. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 15% - 55%
= 30%
30% → 60
1% → 60 ÷ 30 = 2
Number of tickets sold at full price
= 15% of the tickets
= 15 x 2
= 30
Number of tickets sold at half price
= 55% of the tickets
= 55 x 2
= 110
|
Full price |
Half price |
Free |
Total |
Number |
30 |
110 |
60 |
|
Value |
2 u |
1 u |
|
|
Total value |
60 u |
110 u |
|
170 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 30 x 2 u + 110 x 1 u
= 60 u + 110 u
= 170 u
170 u = 4590
1 u = 4590 ÷ 170 = 27
Price of the ticket at half price
= 1 u
= $27
Answer(s): $27