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Molodets [167]
3 years ago
5

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20

points, write a system of equations.
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

x+y=30       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

4x-y=20        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations x+y=30 and 4x-y=20.

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