The price of a child ticket and an adult ticket to a theme park are $9 and $11 respectively. The amount collected from the sale of the child tickets is $829 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 23 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 + 23 |
|
Value |
9 |
11 |
|
Total Value |
9 u |
11 u + 253 |
20 u + 253 |
Number of children = 1 u
Number of adults = 1 u + 23
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
= 11 x (1 u + 23)
= 11 u + 253
The amount collected from the sale of the child tickets is $829 less than the amount from the sale of the adult tickets.
11 u + 253 = 9 u + 829
11 u - 9 u = 829 - 253
2 u = 576
1 u = 576 ÷ 2 = 288
Total amount collected from the tickets sold
= 9 u + 11 u + 253
= 20 u + 253
= 20 x 288 + 253
= 5760 + 253
= $6013
Answer(s): $6013