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. Identify the first step if solving this problem arithmetically, which would find the cost of one adult and one child ticket. (1 point)
Responses
Divide 75 by 6.
Divide 75 by 6.
Add 3 to 75.
Add 3 to 75.
Subtract 6 from 75.
Subtract 6 from 75.
Divide 75 by 3.
Divide 75 by 6.
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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
Combine like terms in parentheses.
Combine like terms in parentheses.
Divide 75 by 3.
Divide 75 by 3.
Distribute values over the variables.
Distribute values over the variables.
Add 3 to 75
Add 3 to 75
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Combine like terms in parentheses.
The first step to find the cost of one adult and one child ticket arithmetically is to subtract the number of child tickets from the total number of tickets. In this case, there are three adult tickets and three child tickets. Since the problem states that the cost of each child ticket is $3 less than the cost of an adult ticket, we can let x represent the cost of an adult ticket. Therefore, the cost of a child ticket would be x - 3. So, the equation can be written as:
3x + 3(x - 3) = 75
Simplifying this equation will give us the cost of one adult and one child ticket.