Question

If 6a=5b, what are the following ratios? 2a:7b

Answer 1

If 6a = 5b then the ratio of 2a : 7b is 5 : 21

Solution:

Given that 6a = 5b

We have to find the ratio of 2a : 7b

Let us first solve the given expression and find values of a and b

6a = 5b

$a = \frac{5b}{6}\\\\\frac{a}{b} = \frac{5}{6}$

So we have found that a = 5 and b = 6

Finding ratio of 2a : 7b

2a : 7b = 2(5) : 7(6)

2a : 7b = 10 : 42

On simplifying to lowest terms,

2a : 7b = 5 : 21

Thus the ratio of 2a : 7b is 5 : 21