PSLE At a fun fair, 40% of the tickets were sold at full price and 30% of the tickets at half price. The remaining 210 tickets were given away free. The total amount of money collected was $11550. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 40% - 30%
= 30%
30% → 210
1% → 210 ÷ 30 = 7
Number of tickets sold at full price
= 40% of the tickets
= 40 x 7
= 280
Number of tickets sold at half price
= 30% of the tickets
= 30 x 7
= 210
|
Full price |
Half price |
Free |
Total |
Number |
280 |
210 |
210 |
|
Value |
2 u |
1 u |
|
|
Total value |
560 u |
210 u |
|
770 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 280 x 2 u + 210 x 1 u
= 560 u + 210 u
= 770 u
770 u = 11550
1 u = 11550 ÷ 770 = 15
Price of the ticket at half price
= 1 u
= $15
Answer(s): $15