PSLE At a basketball match, 15% of the tickets were sold at full price and 80% of the tickets at half price. The remaining 35 tickets were given away free. The total amount of money collected was $16170. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 80%
= 5%
5% → 35
1% → 35 ÷ 5 = 7
Number of tickets sold at full price
= 15% of the tickets
= 15 x 7
= 105
Number of tickets sold at half price
= 80% of the tickets
= 80 x 7
= 560
|
Full price |
Half price |
Free |
Total |
Number |
105 |
560 |
35 |
|
Value |
2 u |
1 u |
|
|
Total value |
210 u |
560 u |
|
770 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 105 x 2 u + 560 x 1 u
= 210 u + 560 u
= 770 u
770 u = 16170
1 u = 16170 ÷ 770 = 21
Full price of the ticket
= 2 u
= 2 x 21
= $42
Answer(s): $42