Question

A piece of wire is divided into two parts that are in the ratio 3 : 5. The length of the longer part is 90cm. How long was the piece of wire?​

Answer 1

Answer:

Let the two parts be 2x the shorter one and 3x the larger.

◕ It is given that longer part is of 90 cm.

✨So :-

◍ According to the question:-

$\: \: \: \: \: \: \: \: \: \: \: 3x = 90cm \\ = > \: \: \: \: \: x = \frac{90}{3} \\ = > \: \: \: \: \: x = 30$

Then , Shorter part :-

$\: \: \: \: \: \: \: \: \: \: 2x = 2 \times 30 \\ = > \: \: \: \: \: \: \: \: \: 60cm$

Longer part :-

$\: \: \: \: \: \: \: 3x = 3 \times 30 \\ = > \: \: \: \: \: \: 90cm$

✨Total length of the wire :-

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 60 + 90 \\ = > \: \: \: \: \: \: \: \: \: \: \: 150cm$

Hope it helped ✌️ ✌️