PSLE At a basketball match, 35% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 175 tickets were given away free. The total amount of money collected was $13000. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 35% - 30%
= 35%
35% → 175
1% → 175 ÷ 35 = 5
Number of tickets sold at full price
= 35% of the tickets
= 35 x 5
= 175
Number of tickets sold at half price
= 30% of the tickets
= 30 x 5
= 150
|
Full price |
Half price |
Free |
Total |
Number |
175 |
150 |
175 |
|
Value |
2 u |
1 u |
|
|
Total value |
350 u |
150 u |
|
500 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 175 x 2 u + 150 x 1 u
= 350 u + 150 u
= 500 u
500 u = 13000
1 u = 13000 ÷ 500 = 26
Price of the ticket at half price
= 1 u
= $26
Answer(s): $26