PSLE At a basketball match, 70% of the tickets were sold at full price and 10% of the tickets at half price. The remaining 100 tickets were given away free. The total amount of money collected was $9750. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 70% - 10%
= 20%
20% → 100
1% → 100 ÷ 20 = 5
Number of tickets sold at full price
= 70% of the tickets
= 70 x 5
= 350
Number of tickets sold at half price
= 10% of the tickets
= 10 x 5
= 50
|
Full price |
Half price |
Free |
Total |
Number |
350 |
50 |
100 |
|
Value |
2 u |
1 u |
|
|
Total value |
700 u |
50 u |
|
750 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 350 x 2 u + 50 x 1 u
= 700 u + 50 u
= 750 u
750 u = 9750
1 u = 9750 ÷ 750 = 13
Price of the ticket at half price
= 1 u
= $13
Answer(s): $13