Anneta

Anneta wants to buy a piece of land for farming; she wants to use 1/3 of the land to plant cocoa, 2/7 for a Palm plantation, and the rest for a vegetable plantation.
1). Find the fractions of the land used for vegetable plantation
2). If one wants to use 56 acres of land for growing vegetables, what is the total area she has in the land to buy?

Correct answer:

v =  8/21
A =  147 a

Step-by-step explanation:

$v=1-\frac{1}{3}-\frac{2}{7}=\frac{8}{21}=0.381$

$$\begin{gathered} V=56\text{a} \\ v\cdot A=V \\ A=V/v=56/\frac{8}{21}=56:\frac{8}{21}=56\cdot \frac{21}{8}=\frac{56\cdot 21}{8}=\frac{1176}{8}=147\text{a} \end{gathered}$$

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