Question a-line

1.2 Linear Equations in One Variable - Word problems → single variable
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A line segment that has a length of 115 centimeters (cm) is divided into three parts. One part is 47 cm long. The other two parts have lengths that are equal to each other. What is the length, in cm, of one of the other two parts of equal length?

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A line segment that has a length of 115   centimeters   ( cm ) is

Hard-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 34 . It’s given that a line segment has a length of 115 cm and is divided into three parts, where one part is 47 cm long and the other two parts have lengths that are equal. If x represents the length, in cm, of each of the two parts of equal length, then the equation 47+x+x=115, or 47+2x=115, represents this situation. Subtracting 47 from each side of this equation yields 2x=68. Dividing each side of this equation by 2 yields x = 34 . Therefore, the length, in cm, of one of the two parts of equal length is 34 .