Question

Cost of $ 5kg $ wheat is $ Rs30.50 $ .
I.What will be the cost of $ 8Kg $ wheat?
II.What quantity of wheat can be purchased in $ Rs61? $

Answer 1

Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. We can solve the given problem by first finding the price of $ 1Kg $ and then multiply it with $ 8Kg $ to get the cost of $ 8Kg $ of wheat.

Complete step-by-step answer:
I.We need to first understand the requirement of the question .
Here we have a cost of $ 5Kg $ wheat $ = 30.50 $ .
So the cost of $ 1Kg $ of wheat $ = \dfrac{{30.50}}{5} $ .
We can find the cost of $ 8Kg $ of wheat $ = \dfrac{{30.50}}{5} \times 8 $ .
It gives us the cost of $ 8Kg $ wheat $ = Rs48.80 $ .

II.Now we have to find the quantity of wheat that can be purchased for $ Rs61 $ .
From the question we can say that Quantity of wheat purchased is $ Rs30.50 = 5Kg $ .
So the quantity of wheat purchased in $ Rs1 = \dfrac{5}{{30.50}} $ .
Similarly we can write the quantity of wheat purchased in
$ Rs61 = \dfrac{5}{{30.50}} \times 61 $ .
We will now solve it: $ \dfrac{{5 \times 61 \times 100}}{{3050}} $ .
It gives us the value $ \dfrac{{305 \times 10}}{{305}} = 10Kg $ .
Hence $ 10Kg $ of wheat can be purchased with $ Rs61 $ .

Note: We should always be careful what the question is asking. We have used the unitary method, we find the unit value first and then we multiply that with the quantity that we have. Based on the requirement and by observing all the necessary information that is already available in the question we gather the information and then create an equation or by unitary method whichever is applicable, then we solve the problem and then verify the answer by putting the value in the problem and see whether we get the same answer or not.