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UKMT Junior Mathematical Challenge, 2022

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

When my pot of paint is half full, it weighs 5.8 kg. When my pot of paint is one quarter full, it weighs 3.1 kg. What is the weight of the full pot?

(A) $8.9\text{ kg}$ (B) $11.2\text{ kg}$ (C) $11.6\text{ kg}$ (D) $12\text{ kg}$ (E) $12.4\text{ kg}$

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