{"status": "success", "data": {"description_md": "Every week Roger pays for a movie ticket and a soda out of his allowance. Last week, Roger's allowance was $A$ dollars. The cost of his movie ticket was $20\\%$ of the difference between $A$ and the cost of his soda, while the cost of his soda was $5\\%$ of the difference between $A$ and the cost of his movie ticket. To the nearest whole percent, what fraction of $A$ did Roger pay for his movie ticket and soda?\n\n$\\textbf{(A)}\\ 9\\%\\qquad\\textbf{(B)}\\ 19\\%\\qquad\\textbf{(C)}\\ 22\\%\\qquad\\textbf{(D)}\\ 23\\%\\qquad\\textbf{(E)}\\ 25\\%$", "description_html": "<p>Every week Roger pays for a movie ticket and a soda out of his allowance. Last week, Roger&#8217;s allowance was  <span class=\"katex--inline\">A</span>  dollars. The cost of his movie ticket was  <span class=\"katex--inline\">20\\%</span>  of the difference between  <span class=\"katex--inline\">A</span>  and the cost of his soda, while the cost of his soda was  <span class=\"katex--inline\">5\\%</span>  of the difference between  <span class=\"katex--inline\">A</span>  and the cost of his movie ticket. To the nearest whole percent, what fraction of  <span class=\"katex--inline\">A</span>  did Roger pay for his movie ticket and soda?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 9\\%\\qquad\\textbf{(B)}\\ 19\\%\\qquad\\textbf{(C)}\\ 22\\%\\qquad\\textbf{(D)}\\ 23\\%\\qquad\\textbf{(E)}\\ 25\\%</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": "2017 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10A_p15", "prev": "/problem/17_amc10A_p13"}}