A contestant on a quiz show gets 50 points for every correct answer and loses 100 points for each incorrect answer. After answering 24 questions, the contestant has 300 points. How many questions has the contestant answered correctly? Incorrectly?

Answer 1

300=50R-100W
R+W=24 or R=24-W

300=50(24-W)-100W
= 1200-50W-100W
150W=900
W=...

Answer 2

so the wrong answers are 6 and the right answers are 18?