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

Add 3 to 75
Add 3 to 75

Divide 75 by 3.
Divide 75 by 3.

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

Combine like terms in parentheses.
Combine like terms in parentheses.
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Answer 1

Combine like terms in parentheses.

x + x − 3 simplifies to 2x − 3, giving 3(2x − 3) = 75.