Question

If 6a=5b, what are the following ratios? b:a

Answer 1

Answer:

6/5

Step-by-step explanation:

We need to know that b:a is the same as b/a. So, starting with 6a=5b we need to find a way to make a b/a appear. Lets try it:

6a=5b

Divide both sides by 5:

(6/5)a=(5/5)b

(6/5)a=b

Now, divide both sides by a, so we can eliminate the a on the left side:

(6/5)a/a=b/a

(6/5) = b/a

So, the ratio b:a is 6/5. This means that for every 6 b there are 5 a. If we would like to know the ratio a:b we just need to simply invert our result, such that:

a:b = a/b = 5/6.