PSLE At a soccer match, 10% of the tickets were sold at full price and 80% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $7000. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 80%
= 10%
10% → 50
1% → 50 ÷ 10 = 5
Number of tickets sold at full price
= 10% of the tickets
= 10 x 5
= 50
Number of tickets sold at half price
= 80% of the tickets
= 80 x 5
= 400
|
Full price |
Half price |
Free |
Total |
Number |
50 |
400 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
100 u |
400 u |
|
500 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 50 x 2 u + 400 x 1 u
= 100 u + 400 u
= 500 u
500 u = 7000
1 u = 7000 ÷ 500 = 14
Price of the ticket at half price
= 1 u
= $14
Answer(s): $14