Question

Compare the following pair of numbers A and B in three ways. a. Find the ratio of A to B. b. Find the ratio of B to A. c. Complete the​ sentence: A is​ ____ percent of B. A=160 and B=420

Answer 1

a. 8:21

b. 21:8

c. A is 38% of B

Answer 2

a.8:21

b.21:8

c.38.095%

Explanation:

We are given that A=160 and B=420

a.We have to find the ratio of A and B

We divide A by B then we get ratio of A and B

`(A)/(B)=(160)/(420)`

`(A)/(B)=(8)/(21)`

Hence, the ratio of A and B=8:21

b.We have to find the ratio of B and A

We divide B by A then we get ratio of B and A'

`(B)/(A)=(420)/(160)`

`(B)/(A)=(21)/(8)`

Hence, the ratio of B and A=21:8

C.Let x percent of B is A

`(x)/(100) * 420=160`

`x=(160* 100)/(420)`

`x=38.095`

Hence, A is 38.095% of B.