Problema Solution
A contestant on a quiz show gets 150 points for every correct answer and loses 250 points for every incorrect answer. After answering 20 questions, the contestant has 200 points. How many questions has the contestant answered correctly? Incorrectly?
Answer provided by our tutors
let
x = the number of questions answered correctly
y = the number of questions answered incorrectly
After answering 20 questions, the contestant has 200 points:
x + y = 20
150x - 200y = 200
by solving the above system of equations we find:
x = 12 correct answers
y = 8 incorrect answers
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