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A quiz has thirty questions whose answers can only be correct or incorrect.

A correct answer scores 8 points, but 3 points are deducted for every incorrect answer.

Gina did the quiz and scored a total of 152 points. How many questions did she get correct?

Respuesta :

Using a system of equations, it is found that Gina got 22 questions correct in the test.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of questions she got correct.
  • Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

x = 22

Gina got 22 questions correct in the test.

More can be learned about a system of equations at https://brainly.com/question/24342899

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