The bird park tickets are priced at $14 and $5. The number of $14-dollar tickets available is 1
16 that of the number of $5-dollar tickets. 3 out of 5 of the $14-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $2220. How much more would have been collected if all the tickets were sold?
|
$14 |
$5 |
Comparing $14 and $5 tickets at first |
7x5 = 35 u |
6x5 = 30 u |
Before |
5x7 = 35 u |
|
Change |
- 3x7 = - 21 u |
- 30 u |
After |
2x7 = 14 u |
0 u |
The number of 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 5 and 7 is 35.
1
16 =
76 Number of $14 tickets : $5 tickets = 7 : 6
|
$14 |
$5 |
Total |
Number |
21 u |
30 u |
|
Value |
$14 |
$5 |
|
Total value |
294 u |
150 u |
$2220 |
Total amount collected from the sale of the sold tickets
= 294 u + 150 u
= 444 u
1 u = 2220 ÷ 444 = 5
Number of $14-tickets left unsold
= 14 u
= 14 x 5
= 70
More amount to be collected if all the tickets were sold
= 70 x 14
= $980
Answer(s): $980