Box distribution (system of equations): Find the number of balls in the green box. Three boxes: Red (R), Green (G), Blue (B) with a total of 108 balls. G + R is twice B. B is twice R. Compute the number of balls in the green box. Choose the correct value.
Verbal Reasoning
Arithmetic Reasoning
Difficulty: Medium
Choose an option
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A18
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B36
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C45
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DNone of these
Answer
Correct Answer: 54
Explanation
Translate to equations G + R = 2B, and B = 2R.
Solve Substitute B = 2R into G + R = 2B ⇒ G + R = 4R ⇒ G = 3R. Total: R + G + B = R + 3R + 2R = 6R = 108 ⇒ R = 18. Then G = 3R = 54.
Note Since 54 is not among the numeric options, the correct choice by label would be "None of these", but the actual value is 54.