PSLE At a fun fair, 50% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 360 tickets were given away free. The total amount of money collected was $18810. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 50% - 10%
= 40%
40% → 360
1% → 360 ÷ 40 = 9
Number of tickets sold at full price
= 50% of the tickets
= 50 x 9
= 450
Number of tickets sold at half price
= 10% of the tickets
= 10 x 9
= 90
|
Full price |
Half price |
Free |
Total |
Number |
450 |
90 |
360 |
|
Value |
2 u |
1 u |
|
|
Total value |
900 u |
90 u |
|
990 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 450 x 2 u + 90 x 1 u
= 900 u + 90 u
= 990 u
990 u = 18810
1 u = 18810 ÷ 990 = 19
Price of the ticket at half price
= 1 u
= $19
Answer(s): $19