{"status": "success", "data": {"description_md": "A frog located at $(x,y)$, with both $x$ and $y$ integers, makes successive jumps of length $5$ and always lands on points with integer coordinates. Suppose that the frog starts at $(0,0)$ and ends at $(1,0)$. What is the smallest possible number of jumps the frog makes?\n\n$\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 4 \\qquad \\textbf{(D)}\\ 5 \\qquad \\textbf{(E)}\\ 6$\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 frog located at  <span class=\"katex--inline\">(x,y)</span> , with both  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  integers, makes successive jumps of length  <span class=\"katex--inline\">5</span>  and always lands on points with integer coordinates. Suppose that the frog starts at  <span class=\"katex--inline\">(0,0)</span>  and ends at  <span class=\"katex--inline\">(1,0)</span> . What is the smallest possible number of jumps the frog makes?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 3 \\qquad \\textbf{(C)}\\ 4 \\qquad \\textbf{(D)}\\ 5 \\qquad \\textbf{(E)}\\ 6</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": 3, "problem_name": "2011 AMC 12B Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p12", "prev": "/problem/11_amc12B_p10"}}