Sanjay takes a pre-ap multiple choice test of 25 questions in which he earns 10 points for every correct answer, but loses 2 points for every incorrect answer. Sanjay answered all 25 questions and scored 202 points. How many did he answer correctly? how many did he answer incorrectly?

Question

Sanjay takes a pre-ap multiple choice test of 25 questions in which he earns 10 points for every correct answer, but loses 2 points for every incorrect answer.  Sanjay answered all 25 questions and scored 202 points.  How many did he answer correctly?  how many did he answer incorrectly?

PsyDAG · Answer

R = 25 - W 10R - 2W = 202 Substitute 25-W for R in the second equation and solve for W. Insert that value into the first equation to solve for R. Check by putting both values into the second equation.