Question

Recently, Frank took a one-hundred question aptitude test where each correct answer scored 5 points, each incorrect answer scored -2 points, and each question not answered scored zero points. Frank answered 80 questions and scored 232 points. How many questions did he answer correctly?

Answer 1

Im guessing he answered 30 correct, let me know if im correct

Answer 2

56 questions were correctly answered by Frank.

Explanation:

Let Frank answered the number of correct questions = x

Let wrong answers given by Frank = y

By statement 1 "Frank answered 80 questions".

Equation will be x + y = 80 ---------(1)

Statement 2 "Frank scored 232 points."

equation will be 5x - 2y = 232 ------(2)

We have to calculate number of correct answers.

Multiply equation (1) by (2) then add it to equation (1).

(2x + 2y) + (5x - 2y) = 160 + 232

7x = 392

x = 56

Therefore, 56 questions were correctly answered by Frank.