Q) Netra bought a satin ribbon of some length She wants to cut the ribbon in equal pieces - Maths - Linear Equations in One Variable

Question

Q) Netra bought a satin ribbon of some length She wants to cut the
ribbon in equal pieces of same length If she cuts the ribbon of a
particular length, she gets 7 equal pieces and a small piece 1 cm
long is left If she increases the length of each piece by 1 cm, she
gets 6 equal pieces and a small piece of 2 cm is left What is the
original length of the satin ribbon she bought?

Shruti Tyagi · Accepted Answer

Dear student,

Let the length of each equal pieces be x cmAccording to question,Since the total length of ribbon will be equal∴7x+1=6(x+1)+2⇒7x+1=6x+6+2⇒7x-6x=6+2-1⇒x=7Now, original length of ribbon=7x+1=7×7+1=49+1=50cm
Regards