PSLE At a fun fair, 10% of the tickets were sold at full price and 85% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $31500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 85%
= 5%
5% → 50
1% → 50 ÷ 5 = 10
Number of tickets sold at full price
= 10% of the tickets
= 10 x 10
= 100
Number of tickets sold at half price
= 85% of the tickets
= 85 x 10
= 850
|
Full price |
Half price |
Free |
Total |
Number |
100 |
850 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
200 u |
850 u |
|
1050 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 100 x 2 u + 850 x 1 u
= 200 u + 850 u
= 1050 u
1050 u = 31500
1 u = 31500 ÷ 1050 = 30
Price of the ticket at half price
= 1 u
= $30
Answer(s): $30