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# Akash bought vegetables weighing 10 kg. out of this, 3 kg 500g is onions, 2 kg 75g is tomatoes and the rest are potatoes. What is the weight of the potatoes?

Last updated date: 10th Aug 2024
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Hint: In this question, we will proceed by considering the weight of the potatoes as a variable. Then convert the grams into kilograms. And equate the total weight of the vegetables to the sum of weights of onions, tomatoes, and potatoes to get the required answer. So, use this concept to reach the solution to the given problem.

Complete step-by-step solution:
Given that,
The total weight of the vegetables = 10 kg
Weight of the onions = 3 kg 500g
Weight of the tomatoes = 2 kg 75g
Let the weight of the potatoes $= x{\text{ kg}}$
We know that, one kilogram is equal to thousand grams i.e., 1 kg = 1000 grams
Converting the weights of onions and tomatoes we have
Weight of the onions $= 3{\text{ kg}} + \dfrac{{500}}{{1000}}{\text{ kg}} = \left( {3 + 0.5} \right){\text{ kg}} = 3.5\;{\text{kg}}$
Weight of the tomatoes $= 2{\text{ kg}} + \dfrac{{75}}{{1000}}{\text{ kg}} = \left( {2 + 0.075} \right){\text{ kg}} = 2.075\;{\text{kg}}$
Now, total weight of vegetables = weight of onions + weight of tomatoes + weight of potatoes
$\Rightarrow 10 = 3.5 + 2.075 + x \\ \Rightarrow 10 = 5.575 + x \\ \therefore x = 10 - 5.575 = 4.425{\text{ kg}}$
Therefore, weight of potatoes $= 4.425{\text{ kg}} = \left( {4 + \dfrac{{425}}{{1000}}} \right){\text{ kg}} = 4{\text{ kg 425 grams}}$

Thus, weight of the potatoes = 4 kg 425 grams.

Note: Use the conversion 1 kg = 1000 grams to convert the weight from kilograms into grams. Here the weight of potatoes should not be more than 10 kg as the total weight of the vegetables is 10 kg. We can also solve this by converting all the weight in terms of grams and then proceed. Both methods are correct.