The equivalent resistance of the circuit is 803.9 Ω.
The current through the 7 kΩ and 6 kΩ is 0.0159 A and 0.0185 A respectively.
How to calculate the equivalent resistance?
The equivalent resistance of the circuit is calculated by segmenting the circuit as follows;
R₁ and R₂ are in parallel
R₃ and R₄ are in parallel
R₅ and R₆ are in series
The total series resistance of the combinations;
R₅₆ = 1 kΩ + 6 kΩ = 7 kΩ
The equivalent resistance of the circuit is calculated as
1/R = 1/7 + 1/7 + 1/2 + 1/8 + 1/3
1/R = 1.244
R = 1/1.244
R = 0.8039 kΩ
R = 803.9 Ω
The current through the 7 kΩ and 6 kΩ is calculated as;
I₇ = V / R
I₇ = 111 V / (7,000 Ω)
I₇ = 0.0159 A
I₆ = ( 111 V ) / ( 6,000 Ω)
I₆ = 0.0185 A