An exam worth 145 points contains 50 questions some of the questions are worth 2 points and some are worth 5 Points how many two point questions are on the test how many 5-point questions are on the test
Accepted Solution
A:
-------------------------------------------------------- Information Given -------------------------------------------------------- Total points = 145 Total questions = 50 2 points questions 5 points questions
-------------------------------------------------------- Assumed all 2 points -------------------------------------------------------- Total points = 2 x 50 = 100
-------------------------------------------------------- Find the extra points -------------------------------------------------------- 145 - 100 = 45
-------------------------------------------------------- Difference in points -------------------------------------------------------- 5 - 2 = 3
-------------------------------------------------------- Find the number of 5 points questions -------------------------------------------------------- 45 ÷ 3 = 15
-------------------------------------------------------- Find the number of 2 points questions -------------------------------------------------------- 50 - 15 = 35
-------------------------------------------------------- Answer: 35 2-points questions and 15 5-points questions --------------------------------------------------------