PSLE At a soccer match, 25% of the tickets were sold at full price and 45% of the tickets at half price. The remaining 270 tickets were given away free. The total amount of money collected was $11970. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 25% - 45%
= 30%
30% → 270
1% → 270 ÷ 30 = 9
Number of tickets sold at full price
= 25% of the tickets
= 25 x 9
= 225
Number of tickets sold at half price
= 45% of the tickets
= 45 x 9
= 405
|
Full price |
Half price |
Free |
Total |
Number |
225 |
405 |
270 |
|
Value |
2 u |
1 u |
|
|
Total value |
450 u |
405 u |
|
855 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 225 x 2 u + 405 x 1 u
= 450 u + 405 u
= 855 u
855 u = 11970
1 u = 11970 ÷ 855 = 14
Price of the ticket at half price
= 1 u
= $14
Answer(s): $14