PSLE At a theme park, 35% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 360 tickets were given away free. The total amount of money collected was $9360. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 35% - 20%
= 45%
45% → 360
1% → 360 ÷ 45 = 8
Number of tickets sold at full price
= 35% of the tickets
= 35 x 8
= 280
Number of tickets sold at half price
= 20% of the tickets
= 20 x 8
= 160
|
Full price |
Half price |
Free |
Total |
Number |
280 |
160 |
360 |
|
Value |
2 u |
1 u |
|
|
Total value |
560 u |
160 u |
|
720 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 280 x 2 u + 160 x 1 u
= 560 u + 160 u
= 720 u
720 u = 9360
1 u = 9360 ÷ 720 = 13
Price of the ticket at half price
= 1 u
= $13
Answer(s): $13