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Problem 367

Algebra Difficulty 2.0 Find the answer UKMT Intermediate Mathematical Challenge · United Kingdom · 2015

The total weight of a box, 20 plates and 30 cups is 4.8 kg. The total weight of the box, 40 plates and 50 cups is 8.4 kg. What is the total weight of the box, 10 plates and 20 cups?

(A) $3\text{ kg}$ (B) $3.2\text{ kg}$ (C) $3.6\text{ kg}$ (D) $4\text{ kg}$ (E) $4.2\text{ kg}$

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