PSLE At a theme park, 15% of the tickets were sold at full price and 80% of the tickets at half price. The remaining 20 tickets were given away free. The total amount of money collected was $7480. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 15% - 80%
= 5%
5% → 20
1% → 20 ÷ 5 = 4
Number of tickets sold at full price
= 15% of the tickets
= 15 x 4
= 60
Number of tickets sold at half price
= 80% of the tickets
= 80 x 4
= 320
|
Full price |
Half price |
Free |
Total |
Number |
60 |
320 |
20 |
|
Value |
2 u |
1 u |
|
|
Total value |
120 u |
320 u |
|
440 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 60 x 2 u + 320 x 1 u
= 120 u + 320 u
= 440 u
440 u = 7480
1 u = 7480 ÷ 440 = 17
Price of the ticket at half price
= 1 u
= $17
Answer(s): $17