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 child tickets is $2785 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 25 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 + 25 |
|
Value |
5 |
15 |
|
Total Value |
5 u |
15 u + 375 |
20 u + 375 |
Number of children = 1 u
Number of adults = 1 u + 25
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 + 25)
= 15 u + 375
The amount collected from the sale of the child tickets is $2785 less than the amount from the sale of the adult tickets.
15 u + 375 = 5 u + 2785
15 u - 5 u = 2785 - 375
10 u = 2410
1 u = 2410 ÷ 10 = 241
Total amount collected from the tickets sold
= 5 u + 15 u + 375
= 20 u + 375
= 20 x 241 + 375
= 4820 + 375
= $5195
Answer(s): $5195