PSLE At a carnival, 45% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 315 tickets were given away free. The total amount of money collected was $18900. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 10%
= 45%
45% → 315
1% → 315 ÷ 45 = 7
Number of tickets sold at full price
= 45% of the tickets
= 45 x 7
= 315
Number of tickets sold at half price
= 10% of the tickets
= 10 x 7
= 70
|
Full price |
Half price |
Free |
Total |
Number |
315 |
70 |
315 |
|
Value |
2 u |
1 u |
|
|
Total value |
630 u |
70 u |
|
700 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 315 x 2 u + 70 x 1 u
= 630 u + 70 u
= 700 u
700 u = 18900
1 u = 18900 ÷ 700 = 27
Full price of the ticket
= 2 u
= 2 x 27
= $54
Answer(s): $54