Question

2 2/7:(0.6x)=4/21:0.25

Answer 1

The value of x is 5.

Explanation:

Let's solve for the value of x,

→ 2 2/7 : (0.6x) = 4/21 : 0.25

→ 16/7 : (0.6x) = 4/21 : 0.25

→ (16/7) × 0.25 = (4/21) × 0.6x

→ 4/7 = (2.4x)/21

→ 2.4x × 7 = 4 × 21

→ 16.8x = 84

→ x = 84/16.8

→ [ x = 5 ]

Hence, the value of x is 5.

Answer 2

x = 5

Explanation:

Given:

`2 (2)/(7):(0.6x)=(4)/(21):0.25`

Convert the mixed number into an improper fraction by multiplying the whole number with the denominator of the fraction, adding it to the numerator of the fraction, and placing it all over the denominator of the fraction:

`\implies 2(2)/(7)=(2 * 7+2)/(7)=(16)/(7)`

Therefore:

`\implies (16)/(7):(0.6x)=(4)/(21):0.25`

`\implies ((16)/(7))/(0.6x)=((4)/(21))/(0.25)`

Cross multiply:

`\implies (16)/(7) * 0.25 = (4)/(21) * 0.6x`

`\implies (16* 0.25)/(7) = (4* 0.6x)/(21)`

`\implies (4)/(7) = (2.4x)/(21)`

Cross multiply again:

`\implies 4 * 21=2.4x * 7`

`\implies 84=16.8x`

Divide both sides by 16.8:

`\implies (84)/(16.8)=(16.8x)/(16.8)`

`\implies 5=x`

`\implies x=5`