The price of a child ticket and an adult ticket to a theme park are $8 and $12 respectively. The amount collected from the sale of the child tickets is $1200 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 15 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 + 15 |
|
Value |
8 |
12 |
|
Total Value |
8 u |
12 u + 180 |
20 u + 180 |
Number of children = 1 u
Number of adults = 1 u + 15
Total amount collected from the sale of the child tickets
= 8 x 1 u
= 8 u
Total amount collected from the sale of the adult tickets
= 12 x (1 u + 15)
= 12 u + 180
The amount collected from the sale of the child tickets is $1200 less than the amount from the sale of the adult tickets.
12 u + 180 = 8 u + 1200
12 u - 8 u = 1200 - 180
4 u = 1020
1 u = 1020 ÷ 4 = 255
Total amount collected from the tickets sold
= 8 u + 12 u + 180
= 20 u + 180
= 20 x 255 + 180
= 5100 + 180
= $5280
Answer(s): $5280