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 $1160 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 18 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 + 18 |
|
Value |
8 |
12 |
|
Total Value |
8 u |
12 u + 216 |
20 u + 216 |
Number of children = 1 u
Number of adults = 1 u + 18
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 + 18)
= 12 u + 216
The amount collected from the sale of the child tickets is $1160 less than the amount from the sale of the adult tickets.
12 u + 216 = 8 u + 1160
12 u - 8 u = 1160 - 216
4 u = 944
1 u = 944 ÷ 4 = 236
Total amount collected from the tickets sold
= 8 u + 12 u + 216
= 20 u + 216
= 20 x 236 + 216
= 4720 + 216
= $4936
Answer(s): $4936