MathCastle
Grade 5SuperchallengeThe Coordinate Plane

The Coordinate Plane · Superchallenge problem

Two patterns make points. The xx-numbers start at 00 and add 33 each time: 0,3,6,…0, 3, 6, \ldots. The yy-numbers start at 5050 and subtract 22 each time: 50,48,46,…50, 48, 46, \ldots. Points are plotted until the yy-number reaches 00: (0,50)(0, 50), (3,48)(3, 48), (6,46)(6, 46), and so on. How many of the plotted points have a yy-coordinate larger than their xx-coordinate?