{"status": "success", "data": {"description_md": "At a math contest, $57$ students are wearing blue shirts, and another $75$ students are wearing yellow shirts. The $132$ students are assigned into $66$ pairs. In exactly $23$ of these pairs, both students are wearing blue shirts. In how many pairs are both students wearing yellow shirts?\n\n$\\textbf{(A)} ~23 \\qquad\\textbf{(B)} ~32 \\qquad\\textbf{(C)} ~37 \\qquad\\textbf{(D)} ~41 \\qquad\\textbf{(E)} ~64$", "description_html": "<p>At a math contest,  <span class=\"katex--inline\">57</span>  students are wearing blue shirts, and another  <span class=\"katex--inline\">75</span>  students are wearing yellow shirts. The  <span class=\"katex--inline\">132</span>  students are assigned into  <span class=\"katex--inline\">66</span>  pairs. In exactly  <span class=\"katex--inline\">23</span>  of these pairs, both students are wearing blue shirts. In how many pairs are both students wearing yellow shirts?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~23 \\qquad\\textbf{(B)} ~32 \\qquad\\textbf{(C)} ~37 \\qquad\\textbf{(D)} ~41 \\qquad\\textbf{(E)} ~64</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 4", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10B_p05", "prev": "/problem/21_amc10B_p03"}}