PSLE At a theme park, 65% of the tickets were sold at full price and 15% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $32625. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 65% - 15%
= 20%
20% → 180
1% → 180 ÷ 20 = 9
Number of tickets sold at full price
= 65% of the tickets
= 65 x 9
= 585
Number of tickets sold at half price
= 15% of the tickets
= 15 x 9
= 135
|
Full price |
Half price |
Free |
Total |
Number |
585 |
135 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
1170 u |
135 u |
|
1305 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 585 x 2 u + 135 x 1 u
= 1170 u + 135 u
= 1305 u
1305 u = 32625
1 u = 32625 ÷ 1305 = 25
Price of the ticket at half price
= 1 u
= $25
Answer(s): $25