Question

If a−3b/a+b = 3/4 , what are the following ratios?

a+b/a

Answer 1

16/15

Explanation:

We are given the equation;

a−3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

• Using cross multiplication;

a−3b/a+b = 3/4 becomes,

4(a-3b) = 3(a+b)

4a - 12b = 3a + 3b

• Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1)/15

= 16/15

Therefore, the ratio a+b/a is 16/15