PSLE At a soccer match, 15% of the tickets were sold at full price and 55% of the tickets at half price. The remaining 180 tickets were given away free. The total amount of money collected was $14790. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 55%
= 30%
30% → 180
1% → 180 ÷ 30 = 6
Number of tickets sold at full price
= 15% of the tickets
= 15 x 6
= 90
Number of tickets sold at half price
= 55% of the tickets
= 55 x 6
= 330
|
Full price |
Half price |
Free |
Total |
Number |
90 |
330 |
180 |
|
Value |
2 u |
1 u |
|
|
Total value |
180 u |
330 u |
|
510 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 90 x 2 u + 330 x 1 u
= 180 u + 330 u
= 510 u
510 u = 14790
1 u = 14790 ÷ 510 = 29
Full price of the ticket
= 2 u
= 2 x 29
= $58
Answer(s): $58