# Question #377c3

Dec 12, 2017

$g = 10 \mathmr{and} g = \frac{1}{10}$ depending on what is meant in the question,

#### Explanation:

It is not clear whether the question means:
$4 = \frac{2 g}{5} \text{ "or" } 4 = \frac{2}{5 g}$

Let's consider both.

$4 = \frac{2 g}{5} \text{ } \leftarrow \times \frac{5}{2}$ on both sides

$4 \times \frac{5}{2} = \frac{2 g}{5} \times \frac{5}{2}$

$10 = g$

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Or

$4 = \frac{2}{5 g} \text{ } \leftarrow$invert both sides

$\frac{1}{4} = \frac{5 g}{2} \text{ } \leftarrow \times \frac{2}{5}$ on both sides

$\frac{1}{4} \times \frac{2}{5} = \frac{5 g}{2} \times \frac{2}{5}$

$\frac{1}{10} = g$