The price of a child ticket and an adult ticket to a theme park are $9 and $12 respectively. The amount collected from the sale of the child tickets is $519 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 15 more than the number of child tickets sold. What is the total amount collected from the tickets sold?
|
Children |
Adults |
Total |
Number |
1 u |
1 u + 15 |
|
Value |
9 |
12 |
|
Total Value |
9 u |
12 u + 180 |
21 u + 180 |
Number of children = 1 u
Number of adults = 1 u + 15
Total amount collected from the sale of the child tickets
= 9 x 1 u
= 9 u
Total amount collected from the sale of the adult tickets
= 12 x (1 u + 15)
= 12 u + 180
The amount collected from the sale of the child tickets is $519 less than the amount from the sale of the adult tickets.
12 u + 180 = 9 u + 519
12 u - 9 u = 519 - 180
3 u = 339
1 u = 339 ÷ 3 = 113
Total amount collected from the tickets sold
= 9 u + 12 u + 180
= 21 u + 180
= 21 x 113 + 180
= 2373 + 180
= $2553
Answer(s): $2553