Question

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

Answer with explanation:

Total number of multiple-choice questions that Desiree has to answer in Aptitude test =50

Points given for every correct Answer= +3

Points deducted for every Incorrect Answer=  -1

For every question unanswered,points Deducted = - 0.5

Total Points Obtained by Desiree after Answering all the questions= 110

Number of Answers that Desiree answered correctly = x questions

Number of Incorrect Answers = (50 -x) questions

Then,the Equation representing above situation

⇒ 3 × x + (-1)× (50-x)=110

⇒3 x-50+x=110-----------equation that represents the given situation

⇒4 x -50 =110

Adding 50, on both sides

⇒ 4 x -50+50=110+50

⇒4 x=160

Dividing both sides by, 4 we get

x=40

Number of correct answers given by Desiree= 40 questions

Number of Incorrect Answers= 50-40=10 Questions

Answer 2

I think it will be 3x-d=110