PSLE At a carnival, 45% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 150 tickets were given away free. The total amount of money collected was $14950. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 45% - 25%
= 30%
30% → 150
1% → 150 ÷ 30 = 5
Number of tickets sold at full price
= 45% of the tickets
= 45 x 5
= 225
Number of tickets sold at half price
= 25% of the tickets
= 25 x 5
= 125
|
Full price |
Half price |
Free |
Total |
Number |
225 |
125 |
150 |
|
Value |
2 u |
1 u |
|
|
Total value |
450 u |
125 u |
|
575 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 225 x 2 u + 125 x 1 u
= 450 u + 125 u
= 575 u
575 u = 14950
1 u = 14950 ÷ 575 = 26
Price of the ticket at half price
= 1 u
= $26
Answer(s): $26