Question

Suhana got an order from a hotel to stitch curtain and was given 75m of curtain cloth. If she needs 3m40cm of cloth to sitch one curtain, find out how many curtains can be stitched with this cloth and tha amount of cloth that will be remaining.

Answer 1

Answer:

22 and 0.2 metres

Step-by-step explanation:

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

• Total curtain cloth given to Suhana is 75 m.
• Cloth she needs to stich one curtain = 3 m 40 cm

We've been asked to calculate the total number of curtains stitched with the cloth and the amount of cloth remaining.

Let us firstly convert the values in metres.$\\\twoheadrightarrow\quad\sf{Cloth\: for\: one\: curtain= 3\: m\: 40\: cm}$ $\\\twoheadrightarrow\quad\sf{Cloth\: for\: one\: curtain=\dfrac{340}{100}}$

Performing division.$\\\twoheadrightarrow\quad\sf{Cloth\: for\: one\: curtain=3.40\: m}$

Now, let us calculate the total number of curtains stitched with the cloth. $\\\twoheadrightarrow\quad\sf{Total\: number\: of\: curtains=\dfrac{Total\: curtains}{Cloth\: for\: one\: curtain}}$

Equating all the values. $\\\twoheadrightarrow\quad\sf{Total\: number\: of\: curtains=\dfrac{75}{3.40}}$

Performing division. $\\\twoheadrightarrow\quad\sf{Total\: number\: of\: curtains=22.05}$

As, the number of curtains cannot be in decimal point. So considering 22 as the number of curtains. $\\\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{Total\: number\: of\: curtains=22}}}}$

Now, let's calculate the amount of cloth remained. $\\\twoheadrightarrow\quad\sf{Remaining\: cloth=Total\: cloth\: given-(Total\: curtains\times Cloth\: for\: one\: curtain)}$

Equating all the values. $\\\twoheadrightarrow\quad\sf{Remaining\: cloth=75-(22\times 3.40)}$

Performing multiplication inside bracket.$\\\twoheadrightarrow\quad\sf{Remaining\: cloth=75-74.8}$

Performing subtraction. $\\\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{Remaining\: cloth=0.2\: m}}}}$

❝ Therefore, total number of curtains stitched with the cloth is 22 and the amount of cloth remained is 0.2 m. ❞