You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, E, at the end.
Question: A furniture shop sells 3-seater, 2-seater and 1-seater sofas that each have an equally wide armrest on the left and the right hand side. Each seat is equally wide (see picture). Together with the armrests the 3-seater sofa is $220 \mathrm{~cm}$ and the 2-seater sofa $160 \mathrm{~cm}$ wide. How wide is the 1-seater sofa?
<image1>
Choices:
(A) $60 \mathrm{~cm}$
(B) $80 \mathrm{~cm}$
(C) $90 \mathrm{~cm}$
(D) $100 \mathrm{~cm}$
(E) $120 \mathrm{~cm}$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
D
Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, E, at the end.
Question: A furniture shop sells 3-seater, 2-seater and 1-seater sofas that each have an equally wide armrest on the left and the right hand side. Each seat is equally wide (see picture). Together with the armrests the 3-seater sofa is $220 \mathrm{~cm}$ and the 2-seater sofa $160 \mathrm{~cm}$ wide. How wide is the 1-seater sofa?
<image1>
Choices:
(A) $60 \mathrm{~cm}$
(B) $80 \mathrm{~cm}$
(C) $90 \mathrm{~cm}$
(D) $100 \mathrm{~cm}$
(E) $120 \mathrm{~cm}$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val