PSLE At a soccer match, 10% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 175 tickets were given away free. The total amount of money collected was $7875. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 10% - 55%
= 35%
35% → 175
1% → 175 ÷ 35 = 5
Number of tickets sold at full price
= 10% of the tickets
= 10 x 5
= 50
Number of tickets sold at half price
= 55% of the tickets
= 55 x 5
= 275
|
Full price |
Half price |
Free |
Total |
Number |
50 |
275 |
175 |
|
Value |
2 u |
1 u |
|
|
Total value |
100 u |
275 u |
|
375 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 50 x 2 u + 275 x 1 u
= 100 u + 275 u
= 375 u
375 u = 7875
1 u = 7875 ÷ 375 = 21
Full price of the ticket
= 2 u
= 2 x 21
= $42
Answer(s): $42