PSLE At a theme park, 45% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 160 tickets were given away free. The total amount of money collected was $22000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 35%
= 20%
20% → 160
1% → 160 ÷ 20 = 8
Number of tickets sold at full price
= 45% of the tickets
= 45 x 8
= 360
Number of tickets sold at half price
= 35% of the tickets
= 35 x 8
= 280
|
Full price |
Half price |
Free |
Total |
Number |
360 |
280 |
160 |
|
Value |
2 u |
1 u |
|
|
Total value |
720 u |
280 u |
|
1000 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 360 x 2 u + 280 x 1 u
= 720 u + 280 u
= 1000 u
1000 u = 22000
1 u = 22000 ÷ 1000 = 22
Full price of the ticket
= 2 u
= 2 x 22
= $44
Answer(s): $44