{"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 $\\frac34$. What is the mean of the score of all the students?\n\n$\\textbf{(A) }74 \\qquad \\textbf{(B) }75 \\qquad \\textbf{(C) }76 \\qquad \\textbf{(D) }77 \\qquad \\textbf{(E) }78$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "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\">\\frac34</span> . What is the mean of the score of all the students?</p>&#10;<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>&#10;<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": 2, "problem_name": "2021 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12B_p05", "prev": "/problem/21_amc12B_p03"}}