{"status": "success", "data": {"description_md": "Alex has $75$ red tokens and $75$ blue tokens. There is a booth where Alex can give two red tokens and receive in return a silver token and a blue token, and another booth where Alex can give three blue tokens and receive in return a silver token and a red token. Alex continues to exchange tokens until no more exchanges are possible. How many silver tokens will Alex have at the end?\n\n$\\textbf{(A)} 62 \\qquad \\textbf{(B)} 82 \\qquad \\textbf{(C)} 83 \\qquad \\textbf{(D)} 102 \\qquad \\textbf{(E)} 103$", "description_html": "<p>Alex has  <span class=\"katex--inline\">75</span>  red tokens and  <span class=\"katex--inline\">75</span>  blue tokens. There is a booth where Alex can give two red tokens and receive in return a silver token and a blue token, and another booth where Alex can give three blue tokens and receive in return a silver token and a red token. Alex continues to exchange tokens until no more exchanges are possible. How many silver tokens will Alex have at the end?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} 62 \\qquad \\textbf{(B)} 82 \\qquad \\textbf{(C)} 83 \\qquad \\textbf{(D)} 102 \\qquad \\textbf{(E)} 103</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": "2013 AMC 10B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p18", "prev": "/problem/13_amc10B_p16"}}