Herp Derp

Algebra Level 4

If 20 Herps is 1 Derp, 30 Derps is 2.5 Lerps, what is 10 Herps in Lerps? Please answer to 3 decimal places.


The answer is 0.042.

Daniel Chen by Daniel Chen , 22, USA

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1 solution

Chew-Seong Cheong
Sep 21, 2015

20 Herps = 1 Derp ⇒ 10 Herps = 10 20 = 1 2 Derp 30 Derps = 5 Lerps ⇒ 1 2 Derp = 1 2 30 × 5 = 1 12 ≈ 0.04 Lerp \begin{aligned} 20 \text{ Herps} & = 1 \text{ Derp} \\ \Rightarrow \color{#3D99F6}{10 \text{ Herps}} & = \frac{10}{20} = \color{#D61F06}{\frac{1}{2} \text{ Derp}} \\ 30 \text{ Derps} & = 5 \text{ Lerps} \\ \Rightarrow \color{#D61F06}{\frac{1}{2} \text{ Derp}} & = \frac{\frac{1}{2}}{30} \times 5 = \frac{1}{12} \approx \boxed{0.04} \text{ Lerp} \end{aligned}

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