PSLE At a theme park, 50% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 175 tickets were given away free. The total amount of money collected was $14000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 50% - 25%
= 25%
25% → 175
1% → 175 ÷ 25 = 7
Number of tickets sold at full price
= 50% of the tickets
= 50 x 7
= 350
Number of tickets sold at half price
= 25% of the tickets
= 25 x 7
= 175
|
Full price |
Half price |
Free |
Total |
Number |
350 |
175 |
175 |
|
Value |
2 u |
1 u |
|
|
Total value |
700 u |
175 u |
|
875 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 350 x 2 u + 175 x 1 u
= 700 u + 175 u
= 875 u
875 u = 14000
1 u = 14000 ÷ 875 = 16
Full price of the ticket
= 2 u
= 2 x 16
= $32
Answer(s): $32