PSLE At a carnival, 55% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 100 tickets were given away free. The total amount of money collected was $21750. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 55% - 35%
= 10%
10% → 100
1% → 100 ÷ 10 = 10
Number of tickets sold at full price
= 55% of the tickets
= 55 x 10
= 550
Number of tickets sold at half price
= 35% of the tickets
= 35 x 10
= 350
|
Full price |
Half price |
Free |
Total |
Number |
550 |
350 |
100 |
|
Value |
2 u |
1 u |
|
|
Total value |
1100 u |
350 u |
|
1450 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 550 x 2 u + 350 x 1 u
= 1100 u + 350 u
= 1450 u
1450 u = 21750
1 u = 21750 ÷ 1450 = 15
Price of the ticket at half price
= 1 u
= $15
Answer(s): $15