Fred completes a test which consists of 20 questions. There are only 2-point questions and 5-point questions in the test. The total points for the test is 58 points. How many 2-point questions are there in the test?
Let x be the number of 2-point questions....then 20-x = the number of 5-point questions
So
2x + 5 (20 - x) = 58 simplify
2x + 100 - 5x = 58
2x - 5x = 58 - 100
-3x = - 42
x = -42 / -3 = 14 2-point questions
