PSLE At a theme park, 70% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 150 tickets were given away free. The total amount of money collected was $17050. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 70% - 15%
= 15%
15% → 150
1% → 150 ÷ 15 = 10
Number of tickets sold at full price
= 70% of the tickets
= 70 x 10
= 700
Number of tickets sold at half price
= 15% of the tickets
= 15 x 10
= 150
|
Full price |
Half price |
Free |
Total |
Number |
700 |
150 |
150 |
|
Value |
2 u |
1 u |
|
|
Total value |
1400 u |
150 u |
|
1550 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 700 x 2 u + 150 x 1 u
= 1400 u + 150 u
= 1550 u
1550 u = 17050
1 u = 17050 ÷ 1550 = 11
Full price of the ticket
= 2 u
= 2 x 11
= $22
Answer(s): $22