The price of a child ticket and an adult ticket to a theme park are $9 and $19 respectively. The amount collected from the sale of the child tickets is $2374 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 16 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 + 16 |
|
Value |
9 |
19 |
|
Total Value |
9 u |
19 u + 304 |
28 u + 304 |
Number of children = 1 u
Number of adults = 1 u + 16
Total amount collected from the sale of the child tickets
= 9 x 1 u
= 9 u
Total amount collected from the sale of the adult tickets
= 19 x (1 u + 16)
= 19 u + 304
The amount collected from the sale of the child tickets is $2374 less than the amount from the sale of the adult tickets.
19 u + 304 = 9 u + 2374
19 u - 9 u = 2374 - 304
10 u = 2070
1 u = 2070 ÷ 10 = 207
Total amount collected from the tickets sold
= 9 u + 19 u + 304
= 28 u + 304
= 28 x 207 + 304
= 5796 + 304
= $6100
Answer(s): $6100