The price of a child ticket and an adult ticket to a theme park are $10 and $16 respectively. The amount collected from the sale of the adult tickets is $2148 more than the amount from the sale of the child tickets. The number of child tickets sold is 24 fewer than the number of adult tickets sold. What is the total amount collected from the tickets sold?
|
Children |
Adults |
Total |
Number |
1 u |
1 u + 24 |
|
Value |
10 |
16 |
|
Total Value |
10 u |
16 u + 384 |
26 u + 384 |
Number of children = 1 u
Number of adults = 1 u + 24
Total amount collected from the sale of the child tickets
= 10 x 1 u
= 10 u
Total amount collected from the sale of the adult tickets
= 16 x (1 u + 24)
= 16 u + 384
The amount collected from the sale of the adult tickets is $2148 more than the amount from the sale of the child tickets.
16 u + 384 = 10 u + 2148
16 u - 10 u = 2148 - 384
6 u = 1764
1 u = 1764 ÷ 6 = 294
Total amount collected from the tickets sold
= 10 u + 16 u + 384
= 26 u + 384
= 26 x 294 + 384
= 7644 + 384
= $8028
Answer(s): $8028