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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.

Difficulty: Medium

18
36
45
None of these

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.

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