PSLE At a theme park, 50% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $6000. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 50% - 25%
= 25%
25% → 50
1% → 50 ÷ 25 = 2
Number of tickets sold at full price
= 50% of the tickets
= 50 x 2
= 100
Number of tickets sold at half price
= 25% of the tickets
= 25 x 2
= 50
|
Full price |
Half price |
Free |
Total |
Number |
100 |
50 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
200 u |
50 u |
|
250 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 100 x 2 u + 50 x 1 u
= 200 u + 50 u
= 250 u
250 u = 6000
1 u = 6000 ÷ 250 = 24
Price of the ticket at half price
= 1 u
= $24
Answer(s): $24