Question

3/6 of piece metal has a mass of 15 kg what is the mass of 4/10 of the peice of metal?

Answer 1

• The mass of 4 / 10 piece of the metal = 12 kg.

Given :

• The mass of 3 / 6 piece of the metal = 15 kg.

To Find :

• The mass of 4 / 10 piece of the metal.

Solution :

We have to find the mass of 4 / 10 piece of the metal.

First we need to find the mass of 1 piece of the metal.

Given,

• 3 / 6 of piece metal has a mass of 15 kg.

That means,

$\bf \implies \dfrac{3}{6} \: piece = 15 \: kg \\ \\ \\ \bf \implies 1 \: piece = \Bigg(\dfrac{15}{\dfrac{3}{6}} \Bigg) \: \: kg\\ \\ \\ \bf \implies 1 \: piece = \not15 \times \dfrac{6}{\not3} \: kg \\ \\ \\ \bf \implies 1 \: piece = 5 \times 6 \: kg \\ \\ \\ \bf \implies 1 \: piece = 30 \: kg$

Therefore,

The mass of 1 piece of the metal is 30 kg.

Now, we have to find the mass of $\bf\dfrac{4}{10}$ piece of the metal.

We know that,

$\bf \implies 1 \: piece = 30 \: kg \\ \\ \\\bf \implies \dfrac{4}{10} \: piece = \frac{ \not4}{\not10} \times30 \: kg\\ \\ \\\bf \implies \dfrac{4}{10}\: piece = \dfrac{2}{ \not5}\times \not30 \: kg \\ \\ \\ \bf \implies \dfrac{4}{10} \: piece = 2 \times 6 \: kg \\ \\ \\ \bf \implies \dfrac{4}{10} \: piece = 12\: kg$

Hence,

The mass of 4 / 10 piece of the metal is 12 kg.

Answer 2

${\large{\underline{\boxed{\pink{\bf{Given}}}}}}$

• $\frac{3}{6}$ of metal has a mass.of 15 kg.

${\large{\underline{\boxed{\pink{\bf{To \: \: find }}}}}}$

• Mass of $\frac{4}{10}$ of peice of metal.

${\Large{\underline{\boxed{\red{\bf{Solution }}}}}}$

At first we have to find the exact mass of $\frac{3}{6}$ and then we will find mass of 1 kg metal. The mass of 1 kg metal will be multiplied by $\frac{4}{10}$ to give the mass the metal.

So, according to the question:-

● Mass of 1 kg of peice of metal is :-

$\\ {\bf{\large{\implies{ 15 \div \frac{3}{6} }}}}$

$\\ {\bf{\large{\implies{ 15 \times \frac{6}{3} }}}}$

$\\ {\bf{\large{\implies{ 5 \times 6 }}}}$

${ \underline{ \boxed{\bf{\large{\implies{ \blue{30 \: kg}}}}}}}$

So, mass of 1 kg of metal is 30 kg .

● Mass of $\frac{4}{10}$ of peice of metal is :-

$\\ {\large{\bf{\implies{ \frac{4}{10} \times 30}}}}$

$\\ {\large{\bf{\implies{ 4\times 3}}}}$

${ \underline{ \boxed{\bf{\huge{\implies{ \red{12 \: kg}}}}}}}$

So, Mass of $\frac{4}{10}$ of peice of metal is 12 kg.