PSLE At a theme park, 60% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 70 tickets were given away free. The total amount of money collected was $31500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 60% - 30%
= 10%
10% → 70
1% → 70 ÷ 10 = 7
Number of tickets sold at full price
= 60% of the tickets
= 60 x 7
= 420
Number of tickets sold at half price
= 30% of the tickets
= 30 x 7
= 210
|
Full price |
Half price |
Free |
Total |
Number |
420 |
210 |
70 |
|
Value |
2 u |
1 u |
|
|
Total value |
840 u |
210 u |
|
1050 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 420 x 2 u + 210 x 1 u
= 840 u + 210 u
= 1050 u
1050 u = 31500
1 u = 31500 ÷ 1050 = 30
Price of the ticket at half price
= 1 u
= $30
Answer(s): $30