PSLE At a carnival, 10% of the tickets were sold at full price and 85% of the tickets at half price. The remaining 35 tickets were given away free. The total amount of money collected was $18375. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 85%
= 5%
5% → 35
1% → 35 ÷ 5 = 7
Number of tickets sold at full price
= 10% of the tickets
= 10 x 7
= 70
Number of tickets sold at half price
= 85% of the tickets
= 85 x 7
= 595
|
Full price |
Half price |
Free |
Total |
Number |
70 |
595 |
35 |
|
Value |
2 u |
1 u |
|
|
Total value |
140 u |
595 u |
|
735 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 70 x 2 u + 595 x 1 u
= 140 u + 595 u
= 735 u
735 u = 18375
1 u = 18375 ÷ 735 = 25
Price of the ticket at half price
= 1 u
= $25
Answer(s): $25