PSLE At a soccer match, 30% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 225 tickets were given away free. The total amount of money collected was $9350. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 30% - 25%
= 45%
45% → 225
1% → 225 ÷ 45 = 5
Number of tickets sold at full price
= 30% of the tickets
= 30 x 5
= 150
Number of tickets sold at half price
= 25% of the tickets
= 25 x 5
= 125
|
Full price |
Half price |
Free |
Total |
Number |
150 |
125 |
225 |
|
Value |
2 u |
1 u |
|
|
Total value |
300 u |
125 u |
|
425 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 150 x 2 u + 125 x 1 u
= 300 u + 125 u
= 425 u
425 u = 9350
1 u = 9350 ÷ 425 = 22
Price of the ticket at half price
= 1 u
= $22
Answer(s): $22