Native plants

In a garden, 5/6 of the area is filled with native plants. The native plants take up 107/4   m². Let g represent the total area of the garden. Find g = total area of the garden.

Correct answer:

g =  321/10 = 32 ¹⁄₁₀ m²

Step-by-step explanation:

$$\begin{gathered} n=\frac{107}{4}=26.75{\text{m}}^2 \\ \frac{5}{6}\cdot g=n \\ g=n/\frac{5}{6}=\frac{107}{4}/\frac{5}{6}=\frac{107}{4}:\frac{5}{6}=\frac{107}{4}\cdot \frac{6}{5}=\frac{107\cdot 6}{4\cdot 5}=\frac{642}{20}=\frac{321}{10}{\text{m}}^2=32.1{\text{m}}^2 \end{gathered}$$

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