{"status": "success", "data": {"description_md": "Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $84$, and the afternoon class's mean score is $70$. The ratio of the number of students in the morning class to the number of students in the afternoon class is $\\frac{3}{4}$. What is the mean of the scores of all the students?\n\n$\\textbf{(A)} ~74 \\qquad\\textbf{(B)} ~75 \\qquad\\textbf{(C)} ~76 \\qquad\\textbf{(D)} ~77 \\qquad\\textbf{(E)} ~78$", "description_html": "<p>Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is  <span class=\"katex--inline\">84</span> , and the afternoon class&#8217;s mean score is  <span class=\"katex--inline\">70</span> . The ratio of the number of students in the morning class to the number of students in the afternoon class is  <span class=\"katex--inline\">\\frac{3}{4}</span> . What is the mean of the scores of all the students?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~74 \\qquad\\textbf{(B)} ~75 \\qquad\\textbf{(C)} ~76 \\qquad\\textbf{(D)} ~77 \\qquad\\textbf{(E)} ~78</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": 1, "problem_name": "2021 AMC 10B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10B_p07", "prev": "/problem/21_amc10B_p05"}}