The price of a child ticket and an adult ticket to a theme park are $8 and $16 respectively. The amount collected from the sale of the child tickets is $1472 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 27 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 + 27 |
|
Value |
8 |
16 |
|
Total Value |
8 u |
16 u + 432 |
24 u + 432 |
Number of children = 1 u
Number of adults = 1 u + 27
Total amount collected from the sale of the child tickets
= 8 x 1 u
= 8 u
Total amount collected from the sale of the adult tickets
= 16 x (1 u + 27)
= 16 u + 432
The amount collected from the sale of the child tickets is $1472 less than the amount from the sale of the adult tickets.
16 u + 432 = 8 u + 1472
16 u - 8 u = 1472 - 432
8 u = 1040
1 u = 1040 ÷ 8 = 130
Total amount collected from the tickets sold
= 8 u + 16 u + 432
= 24 u + 432
= 24 x 130 + 432
= 3120 + 432
= $3552
Answer(s): $3552