PSLE At a basketball match, 70% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 100 tickets were given away free. The total amount of money collected was $38400. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 70% - 20%
= 10%
10% → 100
1% → 100 ÷ 10 = 10
Number of tickets sold at full price
= 70% of the tickets
= 70 x 10
= 700
Number of tickets sold at half price
= 20% of the tickets
= 20 x 10
= 200
|
Full price |
Half price |
Free |
Total |
Number |
700 |
200 |
100 |
|
Value |
2 u |
1 u |
|
|
Total value |
1400 u |
200 u |
|
1600 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 700 x 2 u + 200 x 1 u
= 1400 u + 200 u
= 1600 u
1600 u = 38400
1 u = 38400 ÷ 1600 = 24
Price of the ticket at half price
= 1 u
= $24
Answer(s): $24