PSLE At a theme park, 70% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 35 tickets were given away free. The total amount of money collected was $30030. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 70% - 25%
= 5%
5% → 35
1% → 35 ÷ 5 = 7
Number of tickets sold at full price
= 70% of the tickets
= 70 x 7
= 490
Number of tickets sold at half price
= 25% of the tickets
= 25 x 7
= 175
|
Full price |
Half price |
Free |
Total |
Number |
490 |
175 |
35 |
|
Value |
2 u |
1 u |
|
|
Total value |
980 u |
175 u |
|
1155 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 490 x 2 u + 175 x 1 u
= 980 u + 175 u
= 1155 u
1155 u = 30030
1 u = 30030 ÷ 1155 = 26
Full price of the ticket
= 2 u
= 2 x 26
= $52
Answer(s): $52