PSLE At a basketball match, 35% of the tickets were sold at full price and 60% of the tickets at half price. The remaining 30 tickets were given away free. The total amount of money collected was $17940. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 35% - 60%
= 5%
5% → 30
1% → 30 ÷ 5 = 6
Number of tickets sold at full price
= 35% of the tickets
= 35 x 6
= 210
Number of tickets sold at half price
= 60% of the tickets
= 60 x 6
= 360
|
Full price |
Half price |
Free |
Total |
Number |
210 |
360 |
30 |
|
Value |
2 u |
1 u |
|
|
Total value |
420 u |
360 u |
|
780 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 210 x 2 u + 360 x 1 u
= 420 u + 360 u
= 780 u
780 u = 17940
1 u = 17940 ÷ 780 = 23
Price of the ticket at half price
= 1 u
= $23
Answer(s): $23