{"status": "success", "data": {"description_md": "Suppose $S$ cans of soda can be purchased from a vending machine for $Q$ quarters. Which of the following expressions describes the number of cans of soda that can be purchased for $D$ dollars, where $1$ dollar is worth $4$ quarters?\n\n$\\textbf{(A) } \\frac{4DQ}{S} \\qquad \\textbf{(B) } \\frac{4DS}{Q} \\qquad \\textbf{(C) } \\frac{4Q}{DS} \\qquad \\textbf{(D) } \\frac{DQ}{4S} \\qquad \\textbf{(E) } \\frac{DS}{4Q}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Suppose  <span class=\"katex--inline\">S</span>  cans of soda can be purchased from a vending machine for  <span class=\"katex--inline\">Q</span>  quarters. Which of the following expressions describes the number of cans of soda that can be purchased for  <span class=\"katex--inline\">D</span>  dollars, where  <span class=\"katex--inline\">1</span>  dollar is worth  <span class=\"katex--inline\">4</span>  quarters?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{4DQ}{S} \\qquad \\textbf{(B) } \\frac{4DS}{Q} \\qquad \\textbf{(C) } \\frac{4Q}{DS} \\qquad \\textbf{(D) } \\frac{DQ}{4S} \\qquad \\textbf{(E) } \\frac{DS}{4Q}</span> </p>&#10;<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": 2, "problem_name": "2018 AMC 12B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12B_p07", "prev": "/problem/18_amc12B_p05"}}