There is an exam worth 145 with 50 questions. Some questions are worth 2 points and some are worth 5 points, how many two point questions are on the test?
Let x be the number of 2 point questions
Then there must be (50 - x) 5 point questions
So....we have this equation
2x + 5(50 -x) = 145 simplify
2x + 250 - 5x = 145
-3x + 250 = 145 subtract 250 from each sides
-3x = -105 divide both sides by -3
x = 35 = number of 2 point questions