Math Problem Statement
In a test 25 questions.X get 15 questions correct .5 for every correct answer . (-3) For every incorrect answer . Find x.
Solution
To solve for , let's set up the equation based on the information provided:
- gets 15 questions correct.
- Each correct answer awards points.
- Each incorrect answer deducts points.
Let's assume the total number of questions is . Therefore, got questions wrong.
The total score is calculated as follows:
Substitute the known values:
Simplify this:
So, has a total score of 45.
Would you like more details or have any other questions? Here are some related questions:
- How would the score change if got 20 questions correct?
- What would 's score be if each incorrect answer deducted 5 points instead of 3?
- How many correct answers would need to achieve a score of 60?
- If the deduction for each incorrect answer doubled, how would this affect 's score?
- What is the minimum number of correct answers would need to have a positive score?
Tip: When dealing with problems involving multiple variables, always start by defining each variable and constructing an equation based on the given conditions.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Basic Algebra
Formulas
Total score = (Points per correct answer × Number of correct answers) + (Points deducted per incorrect answer × Number of incorrect answers)
Theorems
-
Suitable Grade Level
Grades 5-7
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