(220-b)/b=4/7
=> (220-b)7=4b
=> 1540 - 7b = 4b
=> 1540 = 4b +7b
=> 11b = 1540
=> b=1540 : 11
=> b=140
\(\frac{220-b}{b}=\frac{4}{7}\)
\(\Rightarrow\left(220-b\right).7=4b\)
\(\Rightarrow1540-7b=4b\)
\(\Rightarrow-7b-4b=-1540\)
\(\Rightarrow-11b=-1540\)
\(\Rightarrow b=140\)