A test worth 125 points has 49 questions on it. Multiple Choice questions are worth 2 points each and short answer questions are worth 5 points each. How many of each type of question are on the test?

Answer:There were 40 2-point questions and 9 3-point questions.Step-by-step explanation:To solve this situation, write two equations. One for the number of questions and one for the number of points. Let x be the number of 2 point questions. Let y be the number of 5 point questions. x + y = 49 Now since x are each worth 2 points, the total points is 2x. And since y are each worth 5 points, the total points is 5y. So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables. x + y = 49 becomes x = 49 - y. Substitute it. 2(49-y) + 5y = 125 98 - 2y + 5y = 125 98 + 3y = 125 3y = 27 y = 9 Substitute y = 9 back into the equation x = 49 - y to find x. x = 49 - 9 x = 40