PSLE At a soccer match, 10% of the tickets were sold at full price and 50% of the tickets at half price. The remaining 200 tickets were given away free. The total amount of money collected was $4200. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 50%
= 40%
40% → 200
1% → 200 ÷ 40 = 5
Number of tickets sold at full price
= 10% of the tickets
= 10 x 5
= 50
Number of tickets sold at half price
= 50% of the tickets
= 50 x 5
= 250
|
Full price |
Half price |
Free |
Total |
Number |
50 |
250 |
200 |
|
Value |
2 u |
1 u |
|
|
Total value |
100 u |
250 u |
|
350 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 50 x 2 u + 250 x 1 u
= 100 u + 250 u
= 350 u
350 u = 4200
1 u = 4200 ÷ 350 = 12
Price of the ticket at half price
= 1 u
= $12
Answer(s): $12