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 algebraically is to write an equation: 3(x+x−3)=75

Question

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 algebraically is to write an equation:  3(x+x−3)=75
 , where  x
  represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable. (1 point)
Responses

Divide 75 by 3.
Divide 75 by 3.

Add 3 to 75
Add 3 to 75

Distribute values over the variables.
Distribute values over the variables.

Combine like terms in parentheses.

GPT-4o mini · Answer

The next step in simplifying the equation $3(x + x - 3) = 75$ before solving for the variable would be to:

Distribute values over the variables.

This means you would distribute the 3 on the left side of the equation to each term inside the parentheses. Doing this will lead to a new equation that is easier to solve.