Question

from a rope of 40m 50cm :pieces of equal size are cut. if each piece is 9/4m long,find the no. of pieces cut off.​
plz answer this question as soon as possible.

Answer 1

$\large{\underline{\rm{\pink{\bf{Given:-}}}}}$

From a rope of 40 m, 50 cm pieces of equal size are cut.

Length of each piece = 9/4 m

$\large{\underline{\rm{\pink{\bf{To \: Find:-}}}}}$

Number of pieces cut off.

$\large{\underline{\rm{\pink{\bf{Analysis:-}}}}}$

$\sf Number \: of \: pieces=\dfrac{Rope \: length}{Length\: of\: each\: piece}$

$\large{\underline{\rm{\pink{\bf{Solution:-}}}}}$

Given that, the length of 40 m and 50 cm pieces are cut off from a rope.

Since the length are of 2 different units, change 40 m into cm

$\boxed{\sf 1 \: m=100 \: cm}$

$\implies \sf (40 \times 100)+50$

$\implies \sf 4050 \: cm$

Given that, each piece is 9/4 m long

$\implies \sf 9 \times\dfrac{100}{4}$

$\implies \sf 9 \times 25$

$\implies \sf 225 \: cm$

$\underline{\boxed{\red{\sf Number \: of \: pieces=\dfrac{Rope \: length}{Length\: of\: each\: piece}}}}$

Substituting their values,

Number of pieces = $\sf \dfrac{4050}{225}$

$\implies \sf 18$

Therefore, 18 Pieces of 9/4 m cut off from  a rope of 40 m, 50 cm