Answer is B. While the language he used was still considered modern English, he invented his own words which makes it confusing to understand for modern students.
This is a compound sentence.
A compound sentence contains at least two independent clauses, which is the case here.
Independent clause no. 1: <em>We're going out for pizza.
</em>Independent clause no. 2: <em>Then we'll go to Jerry's house to study.
</em>A simple sentence would contain only one independent clause; a complex sentence would contain at least one dependent clause and one independent clause; a compound-complex sentence would contain at least two independent and dependent clauses.<em>
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It looks perfectly fine the answer is well said and has supporting sentences to prove your statement. Wording is a little of where you said "but shows even more in the second half." It's not that big of a deal but just kind of rolls of the tongue weirdly not a necessary change but just thought I'd point it out.