PSLE At a soccer match, 45% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 125 tickets were given away free. The total amount of money collected was $18000. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 45% - 30%
= 25%
25% → 125
1% → 125 ÷ 25 = 5
Number of tickets sold at full price
= 45% of the tickets
= 45 x 5
= 225
Number of tickets sold at half price
= 30% of the tickets
= 30 x 5
= 150
|
Full price |
Half price |
Free |
Total |
Number |
225 |
150 |
125 |
|
Value |
2 u |
1 u |
|
|
Total value |
450 u |
150 u |
|
600 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 225 x 2 u + 150 x 1 u
= 450 u + 150 u
= 600 u
600 u = 18000
1 u = 18000 ÷ 600 = 30
Full price of the ticket
= 2 u
= 2 x 30
= $60
Answer(s): $60