PSLE At a basketball match, 30% of the tickets were sold at full price and 25% of the tickets at half price. The remaining 315 tickets were given away free. The total amount of money collected was $13090. What was the price of the ticket at half price?
Percentage of the tickets given free
= 100% - 30% - 25%
= 45%
45% → 315
1% → 315 ÷ 45 = 7
Number of tickets sold at full price
= 30% of the tickets
= 30 x 7
= 210
Number of tickets sold at half price
= 25% of the tickets
= 25 x 7
= 175
|
Full price |
Half price |
Free |
Total |
Number |
210 |
175 |
315 |
|
Value |
2 u |
1 u |
|
|
Total value |
420 u |
175 u |
|
595 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 210 x 2 u + 175 x 1 u
= 420 u + 175 u
= 595 u
595 u = 13090
1 u = 13090 ÷ 595 = 22
Price of the ticket at half price
= 1 u
= $22
Answer(s): $22