Question

A piece of wire is 64cm in length is to be cut into two pieces that are in the ratio 5"3.find the length of each part

Answer 1

Answer:

24 cm and 40 cm

Explanation

Given

Piece of wire=64 cm

Ratio of two pieces=3:5

Let the ratios be 3x and 5x

A/Q

3x+4x=64

8x=64

x=8

•5x=5×8=40 cm

•3x=3×8=24 cm

____________

$\frac{40}{24}$

$\frac{5}{3}$

✔✔Answer Checked✔✔

Answer 2

Piece of wire length= 64 cm

it cut in 2 pieces in ratio 5:3

By directly

Length of parts = 64× 5/8, 64 × 3/8

64× 5/8 = 8×5 = 40

64×3/8 = 8×3 = 24

So length of parts are 40, 24

Or

Let length of one part be x

other part length = 64-x

x/(64-x) = 5/3

apply componendo and dividendo

(2x-64 )/64 =2/8

(2x-64) = 2×64/8 = 16

x-32 = 8

x=40

So length of parts are 40, 64-40

= 40, 24

Or

let pieces length be 5x , 3x

5x +3x = 64

8x = 64

x= 8

So length of pieces = 5(8),3(8)

= 40, 24