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?

Sydney must have answered at least
7
⇒ 8 questions correctly in the second section of the test.