{"status": "success", "data": {"description_md": "A shopper plans to purchase an item that has a listed price greater than \\$$100$ and can use any one of the three coupons. Coupon A gives $15\\%$ off the listed price, Coupon B gives \\$$30$ off the listed price, and Coupon C gives $25\\%$ off the amount by which the listed price exceeds \\$$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\">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\">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 $<span class=\"katex--inline\">100</span>. <br/><br/>&#10;Let <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>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 50&#10;\\qquad&#10;\\textbf{(B)}\\ 60&#10;\\qquad&#10;\\textbf{(C)}\\ 75&#10;\\qquad&#10;\\textbf{(D)}\\ 80&#10;\\qquad&#10;\\textbf{(E)}\\ 100</span></p>&#10;", "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"}}