The price of a child ticket and an adult ticket to a theme park are $7 and $13 respectively. The amount collected from the sale of the adult tickets is $1074 more than the amount from the sale of the child tickets. The number of child tickets sold is 30 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 + 30 |
|
| Value |
7 |
13 |
|
| Total Value |
7 u |
13 u + 390 |
20 u + 390 |
Number of children = 1 u
Number of adults = 1 u + 30
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
= 13 x (1 u + 30)
= 13 u + 390
The amount collected from the sale of the adult tickets is $1074 more than the amount from the sale of the child tickets.
13 u + 390 = 7 u + 1074
13 u - 7 u = 1074 - 390
6 u = 684
1 u = 684 ÷ 6 = 114
Total amount collected from the tickets sold
= 7 u + 13 u + 390
= 20 u + 390
= 20 x 114 + 390
= 2280 + 390
= $2670
Answer(s): $2670
