{"status": "success", "data": {"description_md": "A shopper plans to purchase an item that has a listed price greater than $\\textdollar 100$ and can use any one of the three coupons. Coupon A gives $15\\%$ off the listed price, Coupon B gives $\\textdollar 30$ off the listed price, and Coupon C gives $25\\%$ off the amount by which the listed price exceeds\n$\\textdollar 100$. <br/>\nLet $x$ and $y$ be the smallest and largest prices, respectively, for which Coupon A saves at least as many dollars as Coupon B or Coupon C. What is $y - x$?\n\n$\\textbf{(A)}\\ 50\n\\qquad\n\\textbf{(B)}\\ 60\n\\qquad\n\\textbf{(C)}\\ 75\n\\qquad\n\\textbf{(D)}\\ 80 \n\\qquad\n\\textbf{(E)}\\ 100$", "description_html": "<p>A shopper plans to purchase an item that has a listed price greater than  <span class=\"katex--inline\">\\textdollar 100</span>  and can use any one of the three coupons. Coupon A gives  <span class=\"katex--inline\">15\\%</span>  off the listed price, Coupon B gives  <span class=\"katex--inline\">\\textdollar 30</span>  off the listed price, and Coupon C gives  <span class=\"katex--inline\">25\\%</span>  off the amount by which the listed price exceeds<br/>\n <span class=\"katex--inline\">\\textdollar 100</span> . <br/><br/>\nLet  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  be the smallest and largest prices, respectively, for which Coupon A saves at least as many dollars as Coupon B or Coupon C. What is  <span class=\"katex--inline\">y - x</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 50\n\\qquad\n\\textbf{(B)}\\ 60\n\\qquad\n\\textbf{(C)}\\ 75\n\\qquad\n\\textbf{(D)}\\ 80 \n\\qquad\n\\textbf{(E)}\\ 100</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": "2010 AMC 10B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10B_p12", "prev": "/problem/10_amc10B_p10"}}