PSLE At a soccer match, 15% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $6440. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 15% - 40%
= 45%
45% → 180
1% → 180 ÷ 45 = 4
Number of tickets sold at full price
= 15% of the tickets
= 15 x 4
= 60
Number of tickets sold at half price
= 40% of the tickets
= 40 x 4
= 160
|
Full price |
Half price |
Free |
Total |
Number |
60 |
160 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
120 u |
160 u |
|
280 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 60 x 2 u + 160 x 1 u
= 120 u + 160 u
= 280 u
280 u = 6440
1 u = 6440 ÷ 280 = 23
Price of the ticket at half price
= 1 u
= $23
Answer(s): $23