Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket the first step to solving this problem algebratically is to write an equation

Answer 1

Let x be the cost of an adult ticket.
The cost of a child ticket will then be x - 3.

Since three adult tickets were purchased, the total cost for adult tickets is 3x.
Since three child tickets were purchased, the total cost for child tickets is 3(x - 3).

The total cost of all the tickets is $75, so we can write the equation as:

3x + 3(x - 3) = 75