Which ratio is equivalent to 4 : 13?

A. 8 : 17

B. 16 : 52

C. 12 : 33

D. 20 : 55

The answer is B. 16 : 52.

Let's compare all ratios to 4 : 13.

A. In order to be equivalent to 4 : 13 the ratio should be 8 : 26

4 : 13 = (4*2) : (13*2) = 8 : 26

B. In order to be equivalent to 4 : 13 the ratio should be 16 : 52

4 : 13 = (4*4) : (13*4) = 16 : 52 - Thus, this is the right choice.

C. In order to be equivalent to 4 : 13 the ratio should be 12 : 39

4 : 13 = (4*3) : (13*3) = 12 : 39

D. In order to be equivalent to 4 : 13 the ratio should be 20 : 65

4 : 13 = (4*5) : (13*5) = 20 : 65

B

because 4*4=16 and 13*4=52