PSLE At a soccer match, 35% of the tickets were sold at full price and 20% of the tickets at half price. The remaining 315 tickets were given away free. The total amount of money collected was $11970. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 35% - 20%
= 45%
45% → 315
1% → 315 ÷ 45 = 7
Number of tickets sold at full price
= 35% of the tickets
= 35 x 7
= 245
Number of tickets sold at half price
= 20% of the tickets
= 20 x 7
= 140
|
Full price |
Half price |
Free |
Total |
Number |
245 |
140 |
315 |
|
Value |
2 u |
1 u |
|
|
Total value |
490 u |
140 u |
|
630 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 245 x 2 u + 140 x 1 u
= 490 u + 140 u
= 630 u
630 u = 11970
1 u = 11970 ÷ 630 = 19
Full price of the ticket
= 2 u
= 2 x 19
= $38
Answer(s): $38