Question

30% of B-A=18% OF B+A
THEN A:B?

Answer 1

1:4

Step-by-step explanation:

30%=
`(30)/(100)`

18%=
`(18)/(100)`

Rewrite the given information:

`(30)/(100) (B - A) = (18)/(100)(B + A)`

Multiply by 100 throughout:

30(B -A)= 18(B+A)

Divide by 6 throughout,

5(B -A)= 3(B +A)

Expand

5B -5A= 3B +3A

Bring A terms to 1 side and B terms to another:

5B -3B= 5A +3A

Simplify

2B= 8A

Divide by 2 throughout:

B= 4A

Now, we have to find the ratio of A to B.

B= 4A

Divide by 4 throughout:

A =
`= (1)/(4) B`

Divide by B on both sides:

`(A)/(B) = (1)/(4)`

Thus, A:B= 1:4