{"status": "success", "data": {"description_md": "<center>\n<img class=\"problem-image\" height=\"332\" src=\"https://latex.artofproblemsolving.com/7/5/b/75b3e762b96f49323740d90a83fdb1339789180e.png\" width=\"148\"/>\n</center>\n\nA number of linked rings, each $1$ cm thick, are hanging on a peg. The top ring has an outside diameter of $20$ cm. The outside diameter of each of the other rings is $1$ cm less than that of the ring above it. The bottom ring has an outside diameter of $3$ cm. What is the distance, in cm, from the top of the top ring to the bottom of the bottom ring? \n\n$\\mathrm{(A)}\\ 171\\qquad\\mathrm{(B)}\\ 173\\qquad\\mathrm{(C)}\\ 182\\qquad\\mathrm{(D)}\\ 188\\qquad\\mathrm{(E)}\\ 210$", "description_html": "<center>&#10;<img class=\"problem-image\" height=\"332\" src=\"https://latex.artofproblemsolving.com/7/5/b/75b3e762b96f49323740d90a83fdb1339789180e.png\" width=\"148\"/>&#10;</center>&#10;<p>A number of linked rings, each <span class=\"katex--inline\">1</span> cm thick, are hanging on a peg. The top ring has an outside diameter of <span class=\"katex--inline\">20</span> cm. The outside diameter of each of the other rings is <span class=\"katex--inline\">1</span> cm less than that of the ring above it. The bottom ring has an outside diameter of <span class=\"katex--inline\">3</span> cm. What is the distance, in cm, from the top of the top ring to the bottom of the bottom ring?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 171\\qquad\\mathrm{(B)}\\ 173\\qquad\\mathrm{(C)}\\ 182\\qquad\\mathrm{(D)}\\ 188\\qquad\\mathrm{(E)}\\ 210</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p15", "prev": "/problem/06_amc10A_p13"}}