{"status": "success", "data": {"description_md": "On the number line, $S$ is three-quarters of the way from $P$ to $Q$. Also, $T$ is one-third of the way from $P$ to $Q$. What is the distance along the number line from $T$ to $S$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2008/crops/08_pascal_p10_fig.png\" alt=\"figure\" width=\"480\"></center>\n\n$\\text{(A)}\\ 20\\qquad\\text{(B)}\\ 15\\qquad\\text{(C)}\\ 6\\qquad\\text{(D)}\\ 25\\qquad\\text{(E)}\\ 31$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>On the number line, <span class=\"katex--inline\">S</span> is three-quarters of the way from <span class=\"katex--inline\">P</span> to <span class=\"katex--inline\">Q</span>. Also, <span class=\"katex--inline\">T</span> is one-third of the way from <span class=\"katex--inline\">P</span> to <span class=\"katex--inline\">Q</span>. What is the distance along the number line from <span class=\"katex--inline\">T</span> to <span class=\"katex--inline\">S</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2008/crops/08_pascal_p10_fig.png\" alt=\"figure\" width=\"480\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 20\\qquad\\text{(B)}\\ 15\\qquad\\text{(C)}\\ 6\\qquad\\text{(D)}\\ 25\\qquad\\text{(E)}\\ 31</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2008 Pascal Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/08_pascal_p11", "prev": "/problem/08_pascal_p09"}}