Question

math book 7th ACE 8.1 a ribbon, 10cm 5 mm long, is to be divided in the ratio 1 : 4. find the length of each part.​

Answer 1

Answer:

1:4 = 21 mm and 48 mm respectively

Step-by-step explanation:

Given-

Length of ribbon- 10 cm 5mm

converted to mm = 10*10 +5=105mm

let the parts given in ratio be expressed in the terms of 'x'

that gives the parts 1 x and 4 x

=> 1x +4x = 105

=> 5x = 105

:. x = 105/5

:. x= 21

:4x = 84

Ans] The length of each part of the ribbon given in the ratio 1:4 = 21 mm and 48 mm respectively.

Answer 2

Length of the ribbon

= 10cm 5mm

= 100mm +5mm

= 105 mm

Ratio = 1:4

let common ratio be x, then;

1x+4x = 105

5x = 105

X = 21

Hence the length of each part will be;

1x = 1×21 = 21mm = 2cm 1mm

4x = 4×21 = 84mm = 8cm 4mm