Answer:
1:4
Explanation:
30%= [tex] \frac{30}{100} [/tex]
18%= [tex] \frac{18}{100} [/tex]
Rewrite the given information:
[tex] \frac{30}{100} (B - A) = \frac{18}{100}(B + A)[/tex]
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 = [tex]= \frac{1}{4} B[/tex]
Divide by B on both sides:
[tex] \frac{A}{B} = \frac{1}{4} [/tex]
Thus, A:B= 1:4
