PSLE At a soccer match, 15% of the tickets were sold at full price and 70% of the tickets at half price. The remaining 135 tickets were given away free. The total amount of money collected was $18900. What was the full price of the ticket?
Percentage of the tickets given free
= 100% - 15% - 70%
= 15%
15% → 135
1% → 135 ÷ 15 = 9
Number of tickets sold at full price
= 15% of the tickets
= 15 x 9
= 135
Number of tickets sold at half price
= 70% of the tickets
= 70 x 9
= 630
|
Full price |
Half price |
Free |
Total |
Number |
135 |
630 |
135 |
|
Value |
2 u |
1 u |
|
|
Total value |
270 u |
630 u |
|
900 u |
Cost of 1 full price ticket = 2 u
Cost of 1 half price ticket = 1 u
Total amount collected
= 135 x 2 u + 630 x 1 u
= 270 u + 630 u
= 900 u
900 u = 18900
1 u = 18900 ÷ 900 = 21
Full price of the ticket
= 2 u
= 2 x 21
= $42
Answer(s): $42