PSLE At a carnival, 25% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 100 tickets were given away free. The total amount of money collected was $4200. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 25%
= 50%
50% → 100
1% → 100 ÷ 50 = 2
Number of tickets sold at full price
= 25% of the tickets
= 25 x 2
= 50
Number of tickets sold at half price
= 25% of the tickets
= 25 x 2
= 50
|
Full price |
Half price |
Free |
Total |
Number |
50 |
50 |
100 |
|
Value |
2 u |
1 u |
|
|
Total value |
100 u |
50 u |
|
150 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 50 x 2 u + 50 x 1 u
= 100 u + 50 u
= 150 u
150 u = 4200
1 u = 4200 ÷ 150 = 28
Price of the ticket at half price
= 1 u
= $28
Answer(s): $28