MathDB
Graph Squares

Source: AIME II 2007 #5

March 29, 2007
geometryrectanglefloor functionfunctionAMCAIME3D geometry

Problem Statement

The graph of the equation 9x+223y=20079x+223y=2007 is drawn on graph paper with each square representing one unit in each direction. How many of the 11 by 11 graph paper squares have interiors lying entirely below the graph and entirely in the first quadrant?