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=120 and B=340
a. The ratio of A to B is .
b. The ratio of B to A is .
c. A is nothing percent of B.

Answer 1

a. 6:17

b. 17:6

c. A is 35.29% of B (rounded to 2 decimal place percent)

Explanation:

Given A = 120 & B = 340

a.

The ratio of A to B is finding the fraction
`(A)/(B)` and reducing it to lowest terms and then writing the answer in "A : B" format. So,

`(A)/(B)=(120)/(340)=(6)/(17)`

Ratio of A to B is 6:17

b.

The ratio of B to A is just the opposite of what we did in part (a). We divide B by A and reduce the fraction to lowest terms and give the final answer in the form B : A. So,

`(B)/(A)=(340)/(120)=(17)/(6)`

Ratio of B to A is 17:6

c.

To find the percentage A is of B, we need to divide A by B and then multiply that answer by 100. Hence,

`(120)/(340)=0.3529*100=35.29`

So A is 35.29% of B (rounded to 2 decimal place percent)