The price of a child ticket and an adult ticket to a theme park are $6 and $8 respectively. The amount collected from the sale of the adult tickets is $688 more than the amount from the sale of the child tickets. The number of child tickets sold is 20 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 + 20 |
|
Value |
6 |
8 |
|
Total Value |
6 u |
8 u + 160 |
14 u + 160 |
Number of children = 1 u
Number of adults = 1 u + 20
Total amount collected from the sale of the child tickets
= 6 x 1 u
= 6 u
Total amount collected from the sale of the adult tickets
= 8 x (1 u + 20)
= 8 u + 160
The amount collected from the sale of the adult tickets is $688 more than the amount from the sale of the child tickets.
8 u + 160 = 6 u + 688
8 u - 6 u = 688 - 160
2 u = 528
1 u = 528 ÷ 2 = 264
Total amount collected from the tickets sold
= 6 u + 8 u + 160
= 14 u + 160
= 14 x 264 + 160
= 3696 + 160
= $3856
Answer(s): $3856