{"status": "success", "data": {"description_md": "A deck of cards has only red cards and black cards. The probability of a randomly chosen card being red is $\\frac13$. When $4$ black cards are added to the deck, the probability of choosing red becomes $\\frac14$. How many cards were in the deck originally?\n\n$\\textbf{(A) }6 \\qquad \\textbf{(B) }9 \\qquad \\textbf{(C) }12 \\qquad \\textbf{(D) }15 \\qquad \\textbf{(E) }18$\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>A deck of cards has only red cards and black cards. The probability of a randomly chosen card being red is  <span class=\"katex--inline\">\\frac13</span> . When  <span class=\"katex--inline\">4</span>  black cards are added to the deck, the probability of choosing red becomes  <span class=\"katex--inline\">\\frac14</span> . How many cards were in the deck originally?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }6 \\qquad \\textbf{(B) }9 \\qquad \\textbf{(C) }12 \\qquad \\textbf{(D) }15 \\qquad \\textbf{(E) }18</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 12A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12A_p07", "prev": "/problem/21_amc12A_p05"}}