We have a:b = 5:6 and b:c = 3: 7 We have to find (3c + 2a):a
Now a:b = 5:6 => a/b = 5/6
b:c = 3:7 => b/c = 3/7
(a/b)*(b/c) = (5/6)*(3/7)
=> a/c = 5/14
=> c/a = 14/5
(3c + 2a):a
=> 3c/a + 2a/a
=> 3(c/a) + 2
=> 3*14/5 + 2
=> 42/5 + 2
=> 52/5
The value of (3c+2a):a = 52/5