Question

Which two ratios are NOT equal?A. 1 : 6 and 3 : 18B. 2 : 14 and 3 : 42C. 12 : 6 and 2 : 1D. 3 : 11 and 6 : 22

Answer 1

Given

The ratios,

A. 1 : 6 and 3 : 18

B. 2 : 14 and 3 : 42

C. 12 : 6 and 2 : 1

D. 3 : 11 and 6 : 22

To find the ratios which are not equal.

Step-by-step explanation:

It is given that,

A. 1 : 6 and 3 : 18

That implies,

`\begin{gathered} (3)/(18)=(3)/(6*3) \\ =(1)/(6) \end{gathered}`

Hence, the ratios 1 : 6 and 3 : 18 are equal.

B. 2 : 14 and 3 : 42

That implies,

`\begin{gathered} (2)/(14)=(2)/(2*7) \\ =(1)/(7) \\ (3)/(42)=(3)/(3*2*7) \\ =(1)/(14) \\ \Rightarrow(2)/(14)\\e(3)/(42) \end{gathered}`

Hence, the ratios 2 : 14 and 3 : 42 are not equal.

C. 12 : 6 and 2 : 1

That implies,

`\begin{gathered} (12)/(6)=(2*6)/(6) \\ =(2)/(1) \end{gathered}`

Hence, the ratios C. 12 : 6 and 2 : 1 are equal.

D. 3 : 11 and 6 : 22

That implies,

`\begin{gathered} (6)/(22)=(2*3)/(2*11) \\ =(3)/(11) \end{gathered}`

Hence, the ratios D. 3 : 11 and 6 : 22 are equal.

Thus, the ratios B. 2 : 14 and 3 : 42 are not equal.