Question

A farmer planted 3/4 of an acre of land with 2 types of wheat. If she planted an equal amount of each type of wheat, how many acres of each type did she plant? Write your answer as a fraction or as a whole or mixed number.

Answer 1

Answer:

$\frac{3}{8}$ acres.

Step-by-step explanation:

We have been given that a farmer planted 3/4 of an acre of land with 2 types of wheat. She planted an equal amount of each type of wheat. We are asked to find the number of acres in which farmer planted of each type of wheat.

To find the number of acres in which farmer planted of each type of wheat, we will divide total land by 2 as:

$\text{Number of acres of each type of wheat}=\frac{3}{4}\div 2$

Let us represent 2 as a fraction.

$\text{Number of acres of each type of wheat}=\frac{3}{4}\div \frac{2}{1}$

Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:

$\text{Number of acres of each type of wheat}=\frac{3}{4}\times \frac{1}{2}$

$\text{Number of acres of each type of wheat}=\frac{3\times 1}{4\times 2}$

$\text{Number of acres of each type of wheat}=\frac{3}{8}$

Therefore, the farmer planted $\frac{3}{8}$ acres of each type of wheat.