SOLUTION: Please Help! I am not sure where to begin. In a math contest, each team is asked 50 questions. the team earns 15 points for each correct answer and lose 8 points for each incorrec

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Question 743618: Please Help! I am not sure where to begin.
In a math contest, each team is asked 50 questions. the team earns 15 points for each correct answer and lose 8 points for each incorrect answer. One team finished with a score of 566. how many questions did the team answer correctly?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

each team is asked 50 questions
there are: correct answer x incorrect answer y
so, x%2By=50......eq.1

the team earns 15 points for each correct answer: 15x
and lose 8 points for each incorrect answer: 8y
One team finished with a score of 566.
so, 15x%2B8y=566......eq.2

x%2By=50......eq.1
15x-8y=566......eq.2
_____________________________
x%2By=50......eq.1...solve for y
y=50-x.....plug in eq.2

15x-8%2850-x%29=566......eq.2...solve for x

15x-400%2B8x=566

23x=566%2B400

23x=966

x=966%2F23

x=42......the team answer correctly 42 questions