The author's older brother Woody is characterized as a young man who

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Answer to your query is provided below:

The author's older brother Woody is characterized as a young man who is a foil to Papa.

Explanation:

Woody is a handy man who not only helps make his own family's living quarters better but also pitches in as a carpenter around camp.

His attitudes and personal qualities contrast with and thereby accentuate Papa’s.

Woody, for example, is always sure of his identity as an American and his responsibility to his family, unlike Papa, who has a complicated identity and who does not always act in the best interest of his family.

about the letter or who wrote the letter

type of error:

the error in the sentence is a "dangling modifier". a dangling modifier is a phrase, word or clause that "dangles" because there is not target to modify. in this case, "after mopping the floor" is the dangling modifier since it has no word to modify. the noun "house" cannot mop the floor; therefore there is a mistake in the writing of the sentence.