Question

Use the equality to find the ratio a : b. 2a-3b/5 = a+b/3

Answer 1

a : b is 14 : 1

Explanation:

To find the ratio a : b using the given equality:

(2a - 3b) / 5 = (a + b) / 3

First, cross-multiply to eliminate fractions:

3(2a - 3b) = 5(a + b)

Now, distribute on both sides:

6a - 9b = 5a + 5b

Next, move the terms with 'a' to one side of the equation and the terms with 'b' to the other side:

6a - 5a = 9b + 5b

This simplifies to:

a = 14b

Now, you have the relationship between a and b:

So, the ratio a : b is 14 : 1.