PSLE At a soccer match, 10% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 500 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% - 10% - 40%
= 50%
50% → 500
1% → 500 ÷ 50 = 10
Number of tickets sold at full price
= 10% of the tickets
= 10 x 10
= 100
Number of tickets sold at half price
= 40% of the tickets
= 40 x 10
= 400
|
Full price |
Half price |
Free |
Total |
Number |
100 |
400 |
500 |
|
Value |
2 u |
1 u |
|
|
Total value |
200 u |
400 u |
|
600 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 100 x 2 u + 400 x 1 u
= 200 u + 400 u
= 600 u
600 u = 12600
1 u = 12600 ÷ 600 = 21
Price of the ticket at half price
= 1 u
= $21
Answer(s): $21