If the numerical data is represented by pictures in which 1 bucket represents 1000 quintle milk then how many buckets are needed to represent 6500 quintle milk ?
Understanding the Problem: Representing Milk Quantity
The question asks us to figure out how many picture buckets are needed to represent a specific amount of milk, given that each bucket stands for a certain quantity of milk.
We are told the following:
- Each picture bucket represents 1000 quintals of milk.
- We need to represent a total of 6500 quintals of milk.
Calculating the Number of Buckets Needed
To find out how many buckets are needed, we need to divide the total amount of milk that needs to be represented by the amount of milk each single bucket represents.
Number of buckets = $\frac{\text{Total milk quintals}}{\text{Quintals per bucket}}$
Plugging in the given values:
Number of buckets = $\frac{6500 \text{ quintals}}{1000 \text{ quintals/bucket}}$
Let's perform the division:
$\frac{6500}{1000} = \frac{65}{10} = 6.5$
So, we need 6.5 buckets.
Interpreting the Result
The result 6.5 means we need 6 whole buckets and 0.5 (or half) of another bucket.
In mixed number form, 6.5 is written as \(6 \frac{1}{2}\).
Therefore, \(6 \frac{1}{2}\) buckets are needed to represent 6500 quintals of milk.
Comparing with the Options
Let's look at the given options:
- 6 buckets
- \(6 \frac{1}{2}\) buckets
- \(5 \frac{1}{2}\) buckets
- None of the above
Our calculation shows that \(6 \frac{1}{2}\) buckets are required, which matches one of the options.
Final Answer
Based on the calculation, \(6 \frac{1}{2}\) buckets are needed to represent 6500 quintals of milk when each bucket represents 1000 quintals.
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