Question

Robert was a participant at a

quiz show where he needed to
answer 20 questions. Three points
were awarded for every correct
answer, and I point was deducted for
every incorrect answer. If Robert
earned a total of 44 points, how many
questions did he answer correctly?

Answer 1

Robert answered 16 questions correctly.

Explanation:

Convert the problem into algebraic equations.

Let x be the number of correct answers. Thus the number of incorrect answers is 20-x.

Three points are awarded for every correct answer and 1 point is deducted for every incorrect answer so we can make an equation:

3x - 1(20-x) = 44

3x -20 + x = 44

4x = 64

x = 64/4

x = 16