The price of a child ticket and an adult ticket to a theme park are $7 and $12 respectively. The amount collected from the sale of the child tickets is $1086 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 13 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 + 13 |
|
Value |
7 |
12 |
|
Total Value |
7 u |
12 u + 156 |
19 u + 156 |
Number of children = 1 u
Number of adults = 1 u + 13
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
= 12 x (1 u + 13)
= 12 u + 156
The amount collected from the sale of the child tickets is $1086 less than the amount from the sale of the adult tickets.
12 u + 156 = 7 u + 1086
12 u - 7 u = 1086 - 156
5 u = 930
1 u = 930 ÷ 5 = 186
Total amount collected from the tickets sold
= 7 u + 12 u + 156
= 19 u + 156
= 19 x 186 + 156
= 3534 + 156
= $3690
Answer(s): $3690