{"status": "success", "data": {"description_md": "At Megapolis Hospital one year, multiple-birth statistics were as follows: Sets of twins, triplets, and quadruplets accounted for $1000$ of the babies born. There were four times as many sets of triplets as sets of quadruplets, and there was three times as many sets of twins as sets of triplets. How many of these $1000$ babies were in sets of quadruplets?\n\n$\\textbf{(A)}\\ 25\\qquad\\textbf{(B)}\\ 40\\qquad\\textbf{(C)}\\ 64\\qquad\\textbf{(D)}\\ 100\\qquad\\textbf{(E)}\\ 160$", "description_html": "<p>At Megapolis Hospital one year, multiple-birth statistics were as follows: Sets of twins, triplets, and quadruplets accounted for  <span class=\"katex--inline\">1000</span>  of the babies born. There were four times as many sets of triplets as sets of quadruplets, and there was three times as many sets of twins as sets of triplets. How many of these  <span class=\"katex--inline\">1000</span>  babies were in sets of quadruplets?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 25\\qquad\\textbf{(B)}\\ 40\\qquad\\textbf{(C)}\\ 64\\qquad\\textbf{(D)}\\ 100\\qquad\\textbf{(E)}\\ 160</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2016 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10B_p14", "prev": "/problem/16_amc10B_p12"}}