PSLE At a carnival, 35% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 225 tickets were given away free. The total amount of money collected was $12600. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 35% - 20%
= 45%
45% → 225
1% → 225 ÷ 45 = 5
Number of tickets sold at full price
= 35% of the tickets
= 35 x 5
= 175
Number of tickets sold at half price
= 20% of the tickets
= 20 x 5
= 100
|
Full price |
Half price |
Free |
Total |
Number |
175 |
100 |
225 |
|
Value |
2 u |
1 u |
|
|
Total value |
350 u |
100 u |
|
450 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 175 x 2 u + 100 x 1 u
= 350 u + 100 u
= 450 u
450 u = 12600
1 u = 12600 ÷ 450 = 28
Price of the ticket at half price
= 1 u
= $28
Answer(s): $28