C seems to be the correct answer. Intended meaning is that by extending voting rights to women, the Wyoming legislature tried to balance the
State's population. Here is the explanation why other answer options are wrong and C is correct.
In 1869, anxious to balance its population of 8,000 men and 2,000 women, the Wyoming legislature extended voting rights to women in Wyoming.
(A)
its population of 8,000 men and 2,000 women, the Wyoming legislature
- its could refer to Wyoming legislature and that is not the intended meaning.
(B)
their population of 8,000 men and 2,000 women, Wyoming's legislature
-SV agreement issue.
(C) the
state's population of 8,000 men and 2,000 women, the Wyoming legislature
- aligns with the intended meaning. Hence correct.
(D) a state population of 8,000 men
with 2,000 women, the legislature in Wyoming
- 8000 men with 2000 women, means that 2000 women are a subset of 8000 men. Completely illogical.
(E) its population of 8,000 men with 2,000 women, Wyoming's legislature.
-Same errors as those in A and D