Problema Solution
In a game of chronology Kylie earns 9 points for every correct answer and loses 5 points for every incorrect answer. If her score is 68 after she has answered 20 questions, how many questions were answered correctly?
Answer provided by our tutors
let
x = the number of questions answered correctly
y = the number of questions answered incorrectly
her score is 68:
9x - 5y = 68
after she has answered 20 questions:
x + y = 20
by solving the system of equations:
9x - 5y = 68
x + y = 20
we find:
x = 12 correct answers
y = 8 incorrect answers
click here to see the step by step solution of the system of equations:
12 questions were answered correctly.