Answer:
There are 8 adults in the group.
Step-by-step explanation:
Let the number of adults in the group be 'x'.
Given:
Number of children = 1
Number of adults = 'x'
Cost for a ticket of adult = $9
Cost for a ticket of a child = $6
Total cost = $78
Total cost is equal to total cost of tickets of 'x' adults plus cost of ticket of 1 child.
Unit cost of 1 adult × Number of adults + cost of ticket of 1 child = Total cost
Framing in equation form, we get:
[tex]9x + 6 = 78[/tex]
Adding -6 on both sides, we get:
[tex]9x=78-6\\\\9x=72[/tex]
Dividing both sides by 9, we get:
[tex]x=\frac{72}{9}=8[/tex]
Therefore, there are 8 adults in the group.
