Venika can embroider a saree in 3 days. What portion of the saree will she be able to embroider in (i) 1 day (ii) 2 days?
Answer
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Hint: Assume that the saree is divided into three parts and each day she embroiders one part of it. Now, to find the portion of the saree she will be able to embroider in 1 day, take the ratio of the part of the saree she will exbroid in 1 day to the total assumed parts of the saree. Similarly, find the ration for the portion of the saree she will embroider in 2 days.
Complete step by step solution:
Here we have been asked to find the portion of the saree that Venika will embroider in 1 day and 2 days if she can embroider the whole saree in 3 days. That means we need to find the fraction or ratio.
Now, let us assume that the saree that she is embroidering is made up of three parts and each day she is able to embroider an equal number of parts that means one part each day.
(i) On the first day she will be able to embroider one part of the saree out of the three parts, so we get,
$\Rightarrow $ Portion of the saree she will embroider in 1 day = $\dfrac{1}{3}$.
Therefore, Venika will be able to embroider one – third portion of the saree in 1 day.
(ii) In two days she will be able to embroider two parts of the saree out of the three parts, so we get,
$\Rightarrow $ Portion of the saree she will embroider in 2 days = $\dfrac{2}{3}$.
Therefore, Venika will be able to embroider two – third portions of the saree in 2 days.
Note: Note that we can also find the portion of the saree embroidered by Venika in 2 days by subtracting the portion of the saree she embroiders in 1 day form 1. We have divided the saree into three equal parts so that the calculation becomes easier. We can also assign some variable to the assumed portion but then we need to perform some calculations to get the answer.
Complete step by step solution:
Here we have been asked to find the portion of the saree that Venika will embroider in 1 day and 2 days if she can embroider the whole saree in 3 days. That means we need to find the fraction or ratio.
Now, let us assume that the saree that she is embroidering is made up of three parts and each day she is able to embroider an equal number of parts that means one part each day.
(i) On the first day she will be able to embroider one part of the saree out of the three parts, so we get,
$\Rightarrow $ Portion of the saree she will embroider in 1 day = $\dfrac{1}{3}$.
Therefore, Venika will be able to embroider one – third portion of the saree in 1 day.
(ii) In two days she will be able to embroider two parts of the saree out of the three parts, so we get,
$\Rightarrow $ Portion of the saree she will embroider in 2 days = $\dfrac{2}{3}$.
Therefore, Venika will be able to embroider two – third portions of the saree in 2 days.
Note: Note that we can also find the portion of the saree embroidered by Venika in 2 days by subtracting the portion of the saree she embroiders in 1 day form 1. We have divided the saree into three equal parts so that the calculation becomes easier. We can also assign some variable to the assumed portion but then we need to perform some calculations to get the answer.
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