The price of a child ticket and an adult ticket to a theme park are $4 and $11 respectively. The amount collected from the sale of the child tickets is $2295 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 26 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 + 26 |
|
Value |
4 |
11 |
|
Total Value |
4 u |
11 u + 286 |
15 u + 286 |
Number of children = 1 u
Number of adults = 1 u + 26
Total amount collected from the sale of the child tickets
= 4 x 1 u
= 4 u
Total amount collected from the sale of the adult tickets
= 11 x (1 u + 26)
= 11 u + 286
The amount collected from the sale of the child tickets is $2295 less than the amount from the sale of the adult tickets.
11 u + 286 = 4 u + 2295
11 u - 4 u = 2295 - 286
7 u = 2009
1 u = 2009 ÷ 7 = 287
Total amount collected from the tickets sold
= 4 u + 11 u + 286
= 15 u + 286
= 15 x 287 + 286
= 4305 + 286
= $4591
Answer(s): $4591