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

Answer:

a.8:21

b.21:8

c.38.095%

Step-by-step 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

$\frac{A}{B}=\frac{160}{420}$

$\frac{A}{B}=\frac{8}{21}$

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'

$\frac{B}{A}=\frac{420}{160}$

$\frac{B}{A}=\frac{21}{8}$

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

C.Let x percent of B is A

$\frac{x}{100} \times 420=160$

$x=\frac{160\times 100}{420}$

$x=38.095$

Hence, A is 38.095% of B.