PSLE At a basketball match, 15% of the tickets were sold at full price and 75% of the tickets at half price. The remaining 60 tickets were given away free. The total amount of money collected was $16380. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 75%
= 10%
10% → 60
1% → 60 ÷ 10 = 6
Number of tickets sold at full price
= 15% of the tickets
= 15 x 6
= 90
Number of tickets sold at half price
= 75% of the tickets
= 75 x 6
= 450
|
Full price |
Half price |
Free |
Total |
Number |
90 |
450 |
60 |
|
Value |
2 u |
1 u |
|
|
Total value |
180 u |
450 u |
|
630 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 90 x 2 u + 450 x 1 u
= 180 u + 450 u
= 630 u
630 u = 16380
1 u = 16380 ÷ 630 = 26
Full price of the ticket
= 2 u
= 2 x 26
= $52
Answer(s): $52