{"status": "success", "data": {"description_md": "Hiram's algebra notes are $50$ pages long and are printed on $25$ sheets of paper; the first sheet contains pages $1$ and $2$, the second sheet contains pages $3$ and $4$, and so on. One day he leaves his notes on the table before leaving for lunch, and his roommate decides to borrow some pages from the middle of the notes. When Hiram comes back, he discovers that his roommate has taken a consecutive set of sheets from the notes and that the average (mean) of the page numbers on all remaining sheets is exactly $19$. How many sheets were borrowed?\n\n$\\textbf{(A)} ~10\\qquad\\textbf{(B)} ~13\\qquad\\textbf{(C)} ~15\\qquad\\textbf{(D)} ~17\\qquad\\textbf{(E)} ~20$", "description_html": "<p>Hiram&#8217;s algebra notes are  <span class=\"katex--inline\">50</span>  pages long and are printed on  <span class=\"katex--inline\">25</span>  sheets of paper; the first sheet contains pages  <span class=\"katex--inline\">1</span>  and  <span class=\"katex--inline\">2</span> , the second sheet contains pages  <span class=\"katex--inline\">3</span>  and  <span class=\"katex--inline\">4</span> , and so on. One day he leaves his notes on the table before leaving for lunch, and his roommate decides to borrow some pages from the middle of the notes. When Hiram comes back, he discovers that his roommate has taken a consecutive set of sheets from the notes and that the average (mean) of the page numbers on all remaining sheets is exactly  <span class=\"katex--inline\">19</span> . How many sheets were borrowed?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~10\\qquad\\textbf{(B)} ~13\\qquad\\textbf{(C)} ~15\\qquad\\textbf{(D)} ~17\\qquad\\textbf{(E)} ~20</span> </p>\n<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": 4, "problem_name": "2021 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p23", "prev": "/problem/21_amc10A_p21"}}