SOLUTION: Matt took a test consisting of 20 problems.Each correct earns 5 points, but each incorrect answers loses 1 point. Matt answered all thw questions, and his score was 76. How many q

Algebra ->  Test -> SOLUTION: Matt took a test consisting of 20 problems.Each correct earns 5 points, but each incorrect answers loses 1 point. Matt answered all thw questions, and his score was 76. How many q      Log On


   



Question 1074553: Matt took a test consisting of 20 problems.Each correct earns 5 points, but each incorrect answers loses 1 point. Matt answered all thw questions, and his score was 76. How many questions did he answer correctly
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let m be the answers that Matt got correct, and n be wrong answers. Then
m+n=20
5m-n=76
n=20-m
so:
5m-(20-m)=76
6m=96
m=16
Matt got 16 answers right and 4 wrong. ☺☺☺☺