# SOLUTION: Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of questions are on the t

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of questions are on the t      Log On

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 Click here to see ALL problems on Linear-systems Question 61574: Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of questions are on the test?Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let x = the number of 2-point questions, then (40-x) = the number of 4-point questions. You can write the equation to solve this: 2(x) + 4(40-x) = 100 Simplify and solve for x. 2x + 160 - 4x = 100 -2x + 160 = 100 -2x = -60 x = 30 and (40-x) = 10 There are thirty 2-point questions and ten 4-point questions.