Your friend’s math test contained 42 questions, some of which were worth two points while the rest were worth three points. Your friend tells you that a perfect score is 100 points, but she cannot remember how many of each type (2 point or 3 point) were on the test. Can you help your friend find out how many of each type were on the test? Which system of equations below correctly represents this situation? (Let x = # of 2 point questions and y = # of 3 point questions) x+y=42; 2x + 3y = 100x+y=42; 2x + 3y = 100

2x+3y=42; x + y = 1002x+3y=42; x + y = 100

x+y=42; 3x + 2y = 100x+y=42; 3x + 2y = 100

3x+2y=42; x + y = 1003x+2y=42; x + y = 100