PSLE At a basketball match, 25% of the tickets were sold at full price and 50% of the tickets at half price. The remaining 50 tickets were given away free. The total amount of money collected was $2600. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 25% - 50%
= 25%
25% → 50
1% → 50 ÷ 25 = 2
Number of tickets sold at full price
= 25% of the tickets
= 25 x 2
= 50
Number of tickets sold at half price
= 50% of the tickets
= 50 x 2
= 100
|
Full price |
Half price |
Free |
Total |
Number |
50 |
100 |
50 |
|
Value |
2 u |
1 u |
|
|
Total value |
100 u |
100 u |
|
200 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 50 x 2 u + 100 x 1 u
= 100 u + 100 u
= 200 u
200 u = 2600
1 u = 2600 ÷ 200 = 13
Full price of the ticket
= 2 u
= 2 x 13
= $26
Answer(s): $26