The price of a child ticket and an adult ticket to a theme park are $9 and $11 respectively. The amount collected from the sale of the adult tickets is $605 more than the amount from the sale of the child tickets. The number of child tickets sold is 29 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 + 29 |
|
Value |
9 |
11 |
|
Total Value |
9 u |
11 u + 319 |
20 u + 319 |
Number of children = 1 u
Number of adults = 1 u + 29
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
= 11 x (1 u + 29)
= 11 u + 319
The amount collected from the sale of the adult tickets is $605 more than the amount from the sale of the child tickets.
11 u + 319 = 9 u + 605
11 u - 9 u = 605 - 319
2 u = 286
1 u = 286 ÷ 2 = 143
Total amount collected from the tickets sold
= 9 u + 11 u + 319
= 20 u + 319
= 20 x 143 + 319
= 2860 + 319
= $3179
Answer(s): $3179