{"status": "success", "data": {"description_md": "Al, Betty, and Clare split $\\$$1000$ among them to be invested in different ways. Each begins with a different amount. At the end of one year, they have a total of $\\$$1500$. Betty and Clare have both doubled their money, whereas Al has managed to lose $\\$$100$. What was Al's original portion?\n\n$\\textbf{(A) }\\$$250 \\qquad\\textbf{(B) }\\$ $350 \\qquad\\textbf{(C) }\\$$400\\qquad\\textbf{(D) }\\$ $450\\qquad\\textbf{(E) }\\$$500$", "description_html": "<p>Al, Betty, and Clare split $$ <span class=\"katex--inline\">1000</span>  among them to be invested in different ways. Each begins with a different amount. At the end of one year, they have a total of $$ <span class=\"katex--inline\">1500</span> . Betty and Clare have both doubled their money, whereas Al has managed to lose $$ <span class=\"katex--inline\">100</span> . What was Al&#8217;s original portion?</p>\n<p>$\\textbf{(A) }$$250 \\qquad\\textbf{(B) }$ $350 \\qquad\\textbf{&#169; }$$400\\qquad\\textbf{(D) }$ $450\\qquad\\textbf{(E) }$ <span class=\"katex--inline\">500</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": 3, "problem_name": "2003 AMC 10B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p13", "prev": "/problem/03_amc10B_p11"}}