Question

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?

1
2
7
8

Answer 1

3(15) + 5y > 80 → 45 + 5y > 80 → 5y > 35 → y > 7.
Since y must be an integer, the minimum is 8.