On a 300 question exam, you get 5 points the correct answer and lose 2 points the wrong answer.You got a score of 1017. How many must you have gotten right and wrong?

Question

On a certain 300-question exam, you get 5 points for a correct answer and lose 2 points for each wrong answer.

You answered all the questions and got a score of 1017. How many must you have gotten right and wrong?

Write an equation or equations to model this and solve to get the answer.

Answer 1

R + W = 300

5R -2W = 1017

2R+2W = 600

7R = 1617

R = 1617/7 = 231 right

W = 300-231 = 69 wrong

5(231) - 2(69) = 1155-138 = 1017