The price of a child ticket and an adult ticket to a theme park are $6 and $13 respectively. The amount collected from the sale of the adult tickets is $1142 more than the amount from the sale of the child tickets. The number of child tickets sold is 27 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 + 27 |
|
Value |
6 |
13 |
|
Total Value |
6 u |
13 u + 351 |
19 u + 351 |
Number of children = 1 u
Number of adults = 1 u + 27
Total amount collected from the sale of the child tickets
= 6 x 1 u
= 6 u
Total amount collected from the sale of the adult tickets
= 13 x (1 u + 27)
= 13 u + 351
The amount collected from the sale of the adult tickets is $1142 more than the amount from the sale of the child tickets.
13 u + 351 = 6 u + 1142
13 u - 6 u = 1142 - 351
7 u = 791
1 u = 791 ÷ 7 = 113
Total amount collected from the tickets sold
= 6 u + 13 u + 351
= 19 u + 351
= 19 x 113 + 351
= 2147 + 351
= $2498
Answer(s): $2498