PSLE At a soccer match, 35% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 125 tickets were given away free. The total amount of money collected was $5500. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 35% - 40%
= 25%
25% → 125
1% → 125 ÷ 25 = 5
Number of tickets sold at full price
= 35% of the tickets
= 35 x 5
= 175
Number of tickets sold at half price
= 40% of the tickets
= 40 x 5
= 200
|
Full price |
Half price |
Free |
Total |
Number |
175 |
200 |
125 |
|
Value |
2 u |
1 u |
|
|
Total value |
350 u |
200 u |
|
550 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 175 x 2 u + 200 x 1 u
= 350 u + 200 u
= 550 u
550 u = 5500
1 u = 5500 ÷ 550 = 10
Price of the ticket at half price
= 1 u
= $10
Answer(s): $10