The price of a child ticket and an adult ticket to a theme park are $7 and $9 respectively. The amount collected from the sale of the child tickets is $508 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 20 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 + 20 |
|
| Value |
7 |
9 |
|
| Total Value |
7 u |
9 u + 180 |
16 u + 180 |
Number of children = 1 u
Number of adults = 1 u + 20
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
= 9 x (1 u + 20)
= 9 u + 180
The amount collected from the sale of the child tickets is $508 less than the amount from the sale of the adult tickets.
9 u + 180 = 7 u + 508
9 u - 7 u = 508 - 180
2 u = 328
1 u = 328 ÷ 2 = 164
Total amount collected from the tickets sold
= 7 u + 9 u + 180
= 16 u + 180
= 16 x 164 + 180
= 2624 + 180
= $2804
Answer(s): $2804
