Solve the problem below by writing and solving one or two equations. A Guess and Check table may help you get started. Be sure to define your variable(s) and write your solution as a sentence.
Define your variables.
Write a set of equations representing the problem.
Solve the second equation for y.
Substitute 33 − x in for y.
Solve for x.
Substitute 19 into one of the original equations for x.
Solve for y.
x = # of correct answers on Part 1
y= # of correct answers on Part 2
x + y = 33
3x + 2y = 85
y = 33 − x
3x + 2(33 − x) = 85
3x + 66 − 2x = 85
x = 19
19 + y = 33
y = 14