The price of a child ticket and an adult ticket to a theme park are $10 and $17 respectively. The amount collected from the sale of the child tickets is $2120 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 30 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 + 30 |
|
Value |
10 |
17 |
|
Total Value |
10 u |
17 u + 510 |
27 u + 510 |
Number of children = 1 u
Number of adults = 1 u + 30
Total amount collected from the sale of the child tickets
= 10 x 1 u
= 10 u
Total amount collected from the sale of the adult tickets
= 17 x (1 u + 30)
= 17 u + 510
The amount collected from the sale of the child tickets is $2120 less than the amount from the sale of the adult tickets.
17 u + 510 = 10 u + 2120
17 u - 10 u = 2120 - 510
7 u = 1610
1 u = 1610 ÷ 7 = 230
Total amount collected from the tickets sold
= 10 u + 17 u + 510
= 27 u + 510
= 27 x 230 + 510
= 6210 + 510
= $6720
Answer(s): $6720