The price of a child ticket and an adult ticket to a theme park are $7 and $15 respectively. The amount collected from the sale of the child tickets is $2676 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 20 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 + 20 |
|
Value |
7 |
15 |
|
Total Value |
7 u |
15 u + 300 |
22 u + 300 |
Number of children = 1 u
Number of adults = 1 u + 20
Total amount collected from the sale of the child tickets
= 7 x 1 u
= 7 u
Total amount collected from the sale of the adult tickets
= 15 x (1 u + 20)
= 15 u + 300
The amount collected from the sale of the child tickets is $2676 less than the amount from the sale of the adult tickets.
15 u + 300 = 7 u + 2676
15 u - 7 u = 2676 - 300
8 u = 2376
1 u = 2376 ÷ 8 = 297
Total amount collected from the tickets sold
= 7 u + 15 u + 300
= 22 u + 300
= 22 x 297 + 300
= 6534 + 300
= $6834
Answer(s): $6834