The price of a child ticket and an adult ticket to a theme park are $9 and $17 respectively. The amount collected from the sale of the child tickets is $2438 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 14 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 + 14 |
|
Value |
9 |
17 |
|
Total Value |
9 u |
17 u + 238 |
26 u + 238 |
Number of children = 1 u
Number of adults = 1 u + 14
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
= 17 x (1 u + 14)
= 17 u + 238
The amount collected from the sale of the child tickets is $2438 less than the amount from the sale of the adult tickets.
17 u + 238 = 9 u + 2438
17 u - 9 u = 2438 - 238
8 u = 2200
1 u = 2200 ÷ 8 = 275
Total amount collected from the tickets sold
= 9 u + 17 u + 238
= 26 u + 238
= 26 x 275 + 238
= 7150 + 238
= $7388
Answer(s): $7388