Question

Select the correct answer from each drop-down menu. Desiree is given an aptitude test with 50 multiple-choice questions. For every correct answer, Desiree will get 3 points. For every wrong answer, 1 point will be deducted. For every question unanswered, 0.5 point is deducted. Desiree did not leave any question unanswered and gets 110 points on the test. If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is and the equation will have .

Answer 1

40 correct

Explanation:

Answer 2

Desiree answered 40 questions correctly

Explanation:

Let

x = number of questions answered correctly

y = number of questions unanswered

z = number of wrong answers unanswered

The system of equations can be expressed

x + y + z = 50

3*x - 0.5*y -1*z = 110

Desiree did not leave any question unanswered

This means that the equations become

y = 0

x + z = 50

3*x -z = 110

If we add them together, we get

4x = 160

x = 40

z = 10

She answered 40 questions correctly