Question

Choose the possible problem statement for the expression given below.
$8÷\frac{1}{4}$.

• A. $8\text{kg}$ of rice is equally distributed into small bags of
  $\frac{1}{4}\text{kg}$. How much rice is in each bag?
• B. $\frac{1}{4}\text{kg}$ of rice is equally distributed into $8$ small bags. What is the quantity of rice in one bag?
• C. $8\text{kg}$ of rice is equally distributed into bags of
  $\frac{1}{4}\text{kg}$. How many small bags are required?
  
• D. $\frac{1}{4}\text{kg}$ of rice is poured into one small bag. If there are $32$ such bags, then find the total quantity of rice.

Answer 1

The correct option is C $8\text{kg}$ of rice is equally distributed into bags of

$\frac{1}{4}\text{kg}$. How many small bags are required?


There are $8$ wholes.
Each whole is divided into $4$ equal parts.
Number of $\frac{1}{4}$ in $8$ wholes $=32$
So, $8÷\frac{1}{4}=32$
Total quantity of rice $=8\text{kg}$
Rice poured in each bag $=\frac{1}{4}\text{kg}$
Number of bags with an equal amount of rice $=32$
The given expression gives us the answer to the number of bags required to divide $8\text{kg}$ of rice equally in $14\text{kg}$ bags.

Option A:
The statement asks about the quantity of rice in each bag. This does not match with the value of the given expression.
Option A does not match with the given expression.
Hence, Option A is incorrect.

Option B:
Number of bags = Total quantity of rice $÷$ Quantity of rice in one bag
$=8÷\frac{1}{4}$

So, Option B matches with the given expression.
Hence, Option B is correct.

Option C:
Quantity of rice in one bag $=\frac{1}{4}÷8$
This does not match with the value of the given expression.
So, Option C does not match with the given expression.

Option D:
Total quantity of rice $=\frac{1}{4}\times 32$ This does not match with the value of the given expression.
So, Option D does not match with the given expression.