PSLE At a theme park, 30% of the tickets were sold at full price and 65% of the tickets at half price. The remaining 45 tickets were given away free. The total amount of money collected was $19125. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 30% - 65%
= 5%
5% → 45
1% → 45 ÷ 5 = 9
Number of tickets sold at full price
= 30% of the tickets
= 30 x 9
= 270
Number of tickets sold at half price
= 65% of the tickets
= 65 x 9
= 585
|
Full price |
Half price |
Free |
Total |
Number |
270 |
585 |
45 |
|
Value |
2 u |
1 u |
|
|
Total value |
540 u |
585 u |
|
1125 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 270 x 2 u + 585 x 1 u
= 540 u + 585 u
= 1125 u
1125 u = 19125
1 u = 19125 ÷ 1125 = 17
Full price of the ticket
= 2 u
= 2 x 17
= $34
Answer(s): $34