PSLE At a soccer match, 10% of the tickets were sold at full price and 60% of the tickets at half price. The remaining 240 tickets were given away free. The total amount of money collected was $10880. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 10% - 60%
= 30%
30% → 240
1% → 240 ÷ 30 = 8
Number of tickets sold at full price
= 10% of the tickets
= 10 x 8
= 80
Number of tickets sold at half price
= 60% of the tickets
= 60 x 8
= 480
|
Full price |
Half price |
Free |
Total |
Number |
80 |
480 |
240 |
|
Value |
2 u |
1 u |
|
|
Total value |
160 u |
480 u |
|
640 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 80 x 2 u + 480 x 1 u
= 160 u + 480 u
= 640 u
640 u = 10880
1 u = 10880 ÷ 640 = 17
Price of the ticket at half price
= 1 u
= $17
Answer(s): $17