Question

Please answer with statements and solution

To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

(HINT = Convert data in cm.)​

Answer 1

Answer:

18shirts can be made.

130cm of cloth will remain.

Step-by-step explanation:

1 shirt takes = 2m 15cm

= 2*100cm + 15cm ( As, 1m=100cm)

= 200+15cm

=215cm

Now,

40m = 40*100cm = 4000cm.

With 215cm of cloth, 1 shirt can be made.

With 1cm of cloth, 1/215 shirt can be made.

Therefore, with 4000cm of cloth, (1/215)*4000 shirts can be made.

i. e. 4000/215

= 18.60 shirts can be made.

So

with 40m of cloth, 18shirts can be made.

1 shirt takes 215cm of cloth.

18shirts takes 215*18cm = 3870cm of cloth

Cloth available was 4000cm

Used up for 18shirts = 3870cm

So cloth leftover = 4000-3870cm

= 130cm cloth remaining

Answer 2

Solution :

Given :

$\small \fbox \pink {\sf \: Length \: of \: cloth \: needed \: for \: stitching \: 1 \: shirt}$

$\: \: \: \: \: \: \: \: \: \: \: \sf= 2 \: m \: 15 \: cm$

$\sf \: \: \: \: \: \: \: \: \: \: = 2 \: m + 15 \: cm$

$\sf \: \: \: \: \: \: \: \: \: \: \: = 2 × 1 \: m + 15 \: cm$

$\sf \fbox{1m = 100cm}$

$\sf= 2 × 100 \: cm + 15 \: cm$

$\sf= 200 \: cm + 15 \: cm$

$\sf= 215 \: cm$

Then ,

$\small\fbox\red {\sf\:Total length of cloth available = 40 m}$

$\sf \fbox{1m = 100cm}$

$\sf= 40 × 100 \: cm$

$\sf= 4000 \: cm$

$\small\fbox\green{\sf \: Total number of shirts can be made from available cloth}$

$\sf = Total \: length \: of \: cloth \: available ÷ length \: of \: cloth \: needed \: for \: 1 \: shirt$

$\sf= 4000 \: ÷ \: 215$

Division :

$\sf \implies Quotient = 18$

$\sf \implies \: Remainder = 130$

Therefore ,

• Number of shirts that can be made = 18
• Remaining cloth = 130 cm

$\sf \: \: \: \: \: \: \: \: \: \: \: \: = 100 \: cm + 30 \: cm$

$\fbox { \sf1m = 100 cm}$