Question

Meg cuts 54 meters of cloth into equal pieces, each of length 3 1/2 meters. How many pieces does she get?

Answer 1

Answer:

16

Step-by-step explanation:

As per the provided information in the given question, we have:

• Meg cuts 54 metres of cloth into equal pieces.
• Length of each is 3 1/2 meters.

We've been asked to calculate the pieces she gets.

Let us suppose the pieces of cloth be x metres.

In order to calculate the pieces of cloth we firstly need to find the total metres of cloth. $\\\twoheadrightarrow\quad\sf{Total\: meters\: of\: cloth=Length\: of\: each\: piece\times Pieces\: of\: cloth}$

– Now, according to the question, total meters of cloth is 54 meters, length of each piece is 3 1/2 meters and pieces of cloth is x. Equating all the values,

$\twoheadrightarrow\quad\sf{54=3\dfrac{1}{2}\times x}$

Simplifying RHS.

$\twoheadrightarrow\quad\sf{54=\dfrac{6+1}{2}\times x}$

Performing addition in numerator.

$\twoheadrightarrow\quad\sf{54=\dfrac{7}{2}\times x}$

Transposing 2 from RHS to LHS. It's arithmetic operator will get change.

$\twoheadrightarrow\quad\sf{54\times 2=7\times x}$

Performing multiplication in LHS.

$\twoheadrightarrow\quad\sf{108=7\times x}$

Transposing 7 from RHS to LHS. It's arithmetic operator will get change.

$\twoheadrightarrow\quad\sf{x=\dfrac{108}{7}}$

Performing division in order to calculate the value of x.

$\twoheadrightarrow\quad\sf{x=15.42}$

As the number of pieces cannot be in decimal. So,

$\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{x=16\: pieces}}}}$

❝ Therefore, pieces Meg gets is 16 pieces. ❞