PSLE At a soccer match, 55% of the tickets were sold at full price and 35% of the tickets at half price. The remaining 80 tickets were given away free. The total amount of money collected was $30160. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 55% - 35%
= 10%
10% → 80
1% → 80 ÷ 10 = 8
Number of tickets sold at full price
= 55% of the tickets
= 55 x 8
= 440
Number of tickets sold at half price
= 35% of the tickets
= 35 x 8
= 280
|
Full price |
Half price |
Free |
Total |
Number |
440 |
280 |
80 |
|
Value |
2 u |
1 u |
|
|
Total value |
880 u |
280 u |
|
1160 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 440 x 2 u + 280 x 1 u
= 880 u + 280 u
= 1160 u
1160 u = 30160
1 u = 30160 ÷ 1160 = 26
Price of the ticket at half price
= 1 u
= $26
Answer(s): $26