PSLE At a fun fair, 30% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 450 tickets were given away free. The total amount of money collected was $17000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 30% - 25%
= 45%
45% → 450
1% → 450 ÷ 45 = 10
Number of tickets sold at full price
= 30% of the tickets
= 30 x 10
= 300
Number of tickets sold at half price
= 25% of the tickets
= 25 x 10
= 250
|
Full price |
Half price |
Free |
Total |
Number |
300 |
250 |
450 |
|
Value |
2 u |
1 u |
|
|
Total value |
600 u |
250 u |
|
850 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 300 x 2 u + 250 x 1 u
= 600 u + 250 u
= 850 u
850 u = 17000
1 u = 17000 ÷ 850 = 20
Full price of the ticket
= 2 u
= 2 x 20
= $40
Answer(s): $40