The price of a child ticket and an adult ticket to a theme park are $5 and $15 respectively. The amount collected from the sale of the adult tickets is $1765 more than the amount from the sale of the child tickets. The number of child tickets sold is 23 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 + 23 |
|
Value |
5 |
15 |
|
Total Value |
5 u |
15 u + 345 |
20 u + 345 |
Number of children = 1 u
Number of adults = 1 u + 23
Total amount collected from the sale of the child tickets
= 5 x 1 u
= 5 u
Total amount collected from the sale of the adult tickets
= 15 x (1 u + 23)
= 15 u + 345
The amount collected from the sale of the adult tickets is $1765 more than the amount from the sale of the child tickets.
15 u + 345 = 5 u + 1765
15 u - 5 u = 1765 - 345
10 u = 1420
1 u = 1420 ÷ 10 = 142
Total amount collected from the tickets sold
= 5 u + 15 u + 345
= 20 u + 345
= 20 x 142 + 345
= 2840 + 345
= $3185
Answer(s): $3185