Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.0 AMC 10/12 Find the answer Italy

Problem:

If $y=2x$ and $z=2y$ , what is $x+y+z$ equal to?

Pick one

Solution

Solution:

The answer is (D). We obviously have $z=4x$ and $x=\frac{y}{2}=\frac{z}{4}$ , from which $x+y+z=7x=\frac{7}{2}y=\frac{7}{4}z$ .

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Source: MathNet, licensed CC-BY-4.0. Statement translated into English from the original; metadata (topic, difficulty) added by this project.