{"status": "success", "data": {"description_md": "A ticket to a school play cost $x$ dollars, where $x$ is a whole number. A group of 9<sup>th</sup> graders buys tickets costing a total of &#36;$48$, and a group of 10<sup>th</sup> graders buys tickets costing a total of &#36;$64$. How many values for $x$ are possible?\n\n$\\textbf{(A)}\\ 1 \\qquad \\textbf{(B)}\\ 2 \\qquad \\textbf{(C)}\\ 3 \\qquad \\textbf{(D)}\\ 4 \\qquad \\textbf{(E)}\\ 5$\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>A ticket to a school play cost  <span class=\"katex--inline\">x</span>  dollars, where  <span class=\"katex--inline\">x</span>  is a whole number. A group of 9<sup>th</sup> graders buys tickets costing a total of $ <span class=\"katex--inline\">48</span> , and a group of 10<sup>th</sup> graders buys tickets costing a total of $ <span class=\"katex--inline\">64</span> . How many values for  <span class=\"katex--inline\">x</span>  are possible?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1 \\qquad \\textbf{(B)}\\ 2 \\qquad \\textbf{(C)}\\ 3 \\qquad \\textbf{(D)}\\ 4 \\qquad \\textbf{(E)}\\ 5</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": "2010 AMC 12B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p04", "prev": "/problem/10_amc12B_p02"}}