{"status": "success", "data": {"description_md": "Claudia has $12$ coins, each of which is a $5$-cent coin or a $10$-cent coin. There are exactly $17$ different values that can be obtained as combinations of one or more of her coins. How many $10$-cent coins does Claudia have?\n\n$\\textbf{(A) }3\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }5\\qquad\\textbf{(D) }6\\qquad\\textbf{(E) }7$", "description_html": "<p>Claudia has <span class=\"katex--inline\">12</span> coins, each of which is a <span class=\"katex--inline\">5</span>-cent coin or a <span class=\"katex--inline\">10</span>-cent coin. There are exactly <span class=\"katex--inline\">17</span> different values that can be obtained as combinations of one or more of her coins. How many <span class=\"katex--inline\">10</span>-cent coins does Claudia have?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }3\\qquad\\textbf{(B) }4\\qquad\\textbf{(C) }5\\qquad\\textbf{(D) }6\\qquad\\textbf{(E) }7</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 AMC 10A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p14", "prev": "/problem/15_amc10A_p12"}}