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?

56 questions were correctly answered by Frank.

Step-by-step 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.

here

step-by-step explanation:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)