The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x + 5y > 80. If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?
3x+5y>80, if x=15 then: 3(15)+5y>80 perform indicated multiplication on left side 45+5y>80 subtract 45 from both sides 5y>35 divide both sides by 5 y>7 So the minimum number of correct answer on the second section of the test would be 8 correct answers.