Question

At the end of a 30-question round, you’ve gotten 23 questions correct and only 7 wrong, giving you a total score of 94 points. Your friend, on the other hand, got 16 questions correct and 14 wrong for a total score of 38 points. Create a system of equations to represent this situation. Let x represent the amount of points received for a correct answer and y represent the amount of points for an incorrect answer.

Answer 1

23x+7y=94-----(1)

16x+14y=38------(2)

Explanation:

Answer 2

Hence, the system of equations that is used to represent the situation is:

23x+7y=94-----(1)

16x+14y=38------(2)

Explanation:

Let x represent the amount of points received for a correct answer and y represent the amount of points for an incorrect answer.

• You’ve gotten 23 questions correct and only 7 wrong,giving you a total score of 94 points.

So, the equation formed is:

23x+7y=94

• Your friend, on the other hand, got 16 questions correct and 14 wrong for a total score of 38 points.

So, the equation formed is:

16x+14y=38

Hence, the system of equations that is used to represent the situation is:

23x+7y=94-----(1)

16x+14y=38------(2)