Question

aparna has 6 1/2 kg of cotton wool for making pillow. if one pillow takes 1 1/4kg.how many pillows can she make​

Answer 1

Answer:

6.5/0.25 = 26 pillows

Answer 2

Given:

$\sf{\bullet\:Cotton\:wool\:Aparna\:has=6\dfrac{1}{2}kg=\dfrac{13}{2}\:kg}$

$\sf{\bullet\:Cotton\:wool\:required\:for\:one\:pillow=1\dfrac{1}{4}kg=\dfrac{5}{2}kg}$

To find:

Number of pillows she can make

Solution:

To find the required answer, we need to divide the quantity of cotton wool Aparna has by the quantity of wool taken to make one pillow.

• How to divide fractions? We just multiply the first fraction with the reciprocal of the other. For example:

$\sf{\dfrac{a}{b}\div\dfrac{p}{q}=\dfrac{a}{b}\times\dfrac{q}{p}}$

• How to multiply fractions? We multiply the numerators and multiply the denominators. For example:

$\sf{\dfrac{a}{b}\times\dfrac{p}{q}=\dfrac{a\times p}{b\times q}}$

Now, we can easily divide both the quantities:

$\sf{\Rightarrow \dfrac{13}{2}\div\dfrac{5}{2}}$

$\sf{\Rightarrow \dfrac{13}{2}\times\dfrac{2}{5}}$

$\sf{\Rightarrow \dfrac{13\times2}{2\times5}}$

As 2 is common in the numerator and denominator, we can cancel it, getting

$\sf{\Rightarrow \dfrac{13\times1}{1\times5}=\dfrac{13}{5}=2\dfrac{3}{5}\:pillows}$

So we can say, Aparna can make two pillows and roughly a half with the given quantity of cotton wool.