PSLE At a fun fair, 25% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 150 tickets were given away free. The total amount of money collected was $5850. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 25%
= 50%
50% → 150
1% → 150 ÷ 50 = 3
Number of tickets sold at full price
= 25% of the tickets
= 25 x 3
= 75
Number of tickets sold at half price
= 25% of the tickets
= 25 x 3
= 75
|
Full price |
Half price |
Free |
Total |
Number |
75 |
75 |
150 |
|
Value |
2 u |
1 u |
|
|
Total value |
150 u |
75 u |
|
225 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 75 x 2 u + 75 x 1 u
= 150 u + 75 u
= 225 u
225 u = 5850
1 u = 5850 ÷ 225 = 26
Price of the ticket at half price
= 1 u
= $26
Answer(s): $26