The social studies teacher is giving a test worth 80 points, and containing 34 questions. There are 2 point and 4 point questions on the test. How many of each type of question are on the test? Show your work. A. List the two equations B. Find each type of question
x is 2 pt questions y is 4 pt questions x+y=34 2x+4y=80 Multiply the top equation by -2 to use elimination technique -2x-2y=-68 Then combine the two equations (x is cancelled out) 2y=12 y=6 If there are 6 four point questions, there must be 28 two point questions to get a total of 34 questions.