{"status": "success", "data": {"description_md": "Teams $A$ and $B$ are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team $A$ has won $\\tfrac{2}{3}$ of its games and team $B$ has won $\\tfrac{5}{8}$ of its games. Also, team $B$ has won $7$ more games and lost $7$ more games than team $A.$ How many games has team $A$ played?\n\n$\\textbf{(A) } 21 \\qquad \\textbf{(B) } 27 \\qquad \\textbf{(C) } 42 \\qquad \\textbf{(D) } 48 \\qquad \\textbf{(E) } 63$\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>Teams  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span>  are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team  <span class=\"katex--inline\">A</span>  has won  <span class=\"katex--inline\">\\tfrac{2}{3}</span>  of its games and team  <span class=\"katex--inline\">B</span>  has won  <span class=\"katex--inline\">\\tfrac{5}{8}</span>  of its games. Also, team  <span class=\"katex--inline\">B</span>  has won  <span class=\"katex--inline\">7</span>  more games and lost  <span class=\"katex--inline\">7</span>  more games than team  <span class=\"katex--inline\">A.</span>  How many games has team  <span class=\"katex--inline\">A</span>  played?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 21 \\qquad \\textbf{(B) } 27 \\qquad \\textbf{(C) } 42 \\qquad \\textbf{(D) } 48 \\qquad \\textbf{(E) } 63</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": "2020 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12B_p06", "prev": "/problem/20_amc12B_p04"}}