Question

Frank has planted carrots in three-fifth of his farm. In the 40% of the remaining area, he has planted spinach and the rest has been allotted to pumpkins. What will be the ratio of the area of the land in which Frank has planted carrots to the area in which he has planted pumpkins

Answer 1

Answer:

5:2

Step-by-step explanation:

Let, the total farm area of Frank is x.

So, Frank has planted carrots in $\frac{3x}{5}$ area.

The remaining area is (x-$\frac{3x}{5}$)= $\frac{2x}{5}$.

Frank has planted spinach in 40% i.e. two-fifth of the remaining area.

Hence, spinach occupy an area of $\frac{2}{5}* \frac{2x}{5}$ =$\frac{4x}{25}$

Now, Frank has allotted the remaining (x- $\frac{3x}{5}-\frac{4x}{25}$)

=$[\frac{25-15-4}{25}]x$

=$\frac{6x}{25}$ area for pumpkins.

Hence, the ratio of the areas allotted for carrots and pumpkins is  

$\frac{3x}{5}:\frac{6x}{25}$

=5:2 (Answer)