Question

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

Answer 1

Answer:

1:4

Explanation:

30%= $\frac{30}{100}$

18%= $\frac{18}{100}$

Rewrite the given information:

$\frac{30}{100} (B - A) = \frac{18}{100}(B + A)$

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 = $= \frac{1}{4} B$

Divide by B on both sides:

$\frac{A}{B} = \frac{1}{4}$

Thus, A:B= 1:4