Art of Problem Solving

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  • ...is now <math>58\%</math> girls. How many students now at the party like to dance? ...ath> girls and <math>2k + 20</math> boys, and <math>2k + 20</math> like to dance. ...
    2 KB (378 words) - 21:23, 19 December 2022
  • ...is now <math>58\%</math> girls. How many students now at the party like to dance? ...\overline{AB}</math> through <math>A</math> to <math>C</math>. Point <math>T</math> lies on <math>\omega</math> so that line <math>CT</math> is tangent ...
    9 KB (1,536 words) - 23:46, 25 August 2023
  • ...,4), K=(0,-2), L=(4,-2), M=(0,-6), O=(0,-4), P=(4,-4), Q=(2,-2), R=(2,-6), T=(6,4), U=(10,0), V=(10,4), Z=(10,2), A_1=(8,4), B_1=(8,0), C_1=(6,-2), D_1= ...(R--M,linewidth(1.6)); draw(T--V); draw(V--U); draw(U--(6,0)); draw((6,0)--T); draw((6,2)--Z); draw(A_1--B_1); draw(A_1--Z); draw(A_1--V,linewidth(1.6)) ...
    16 KB (2,371 words) - 15:47, 23 December 2024
  • <cmath>\begin{tabular}[t]{cccc} Half the people in a room left. One third of those remaining started to dance. There were then <math>12</math> people who were not dancing. The origina ...
    12 KB (1,569 words) - 16:23, 12 August 2025
  • At a dance party a group of boys and girls exchange dances as follows: one boy dances MP("Q",(-3/2+1/10,-2/10),W);MP("T",(-2/5,1/5),N);MP("P",(1,1),N); ...
    25 KB (3,874 words) - 18:44, 29 August 2025