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UKMT Intermediate Mathematical Challenge, 2021

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Andrew calculates that 40% of 50% of $x$ is equal to 20% of 30% of $y$ , where $x \neq 0$ . Which of the following is true?

(A) $y = \frac{2x}{3}$ (B) $y = \frac{4x}{3}$ (C) $y = 2x$ (D) $y = \frac{8x}{3}$ (E) $y = \frac{10x}{3}$

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