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
[tex]a = \frac{5b}{6}\\\\\frac{a}{b} = \frac{5}{6}[/tex]
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
