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 xx, let's set up the equation based on the information provided:

  • xx gets 15 questions correct.
  • Each correct answer awards +5+5 points.
  • Each incorrect answer deducts 3-3 points.

Let's assume the total number of questions is 2525. Therefore, xx got 2515=1025 - 15 = 10 questions wrong.

The total score SS is calculated as follows:

S=5×(Number of correct answers)+(3)×(Number of incorrect answers)S = 5 \times (\text{Number of correct answers}) + (-3) \times (\text{Number of incorrect answers})

Substitute the known values:

S=5×15+(3)×10S = 5 \times 15 + (-3) \times 10

Simplify this:

S=7530=45S = 75 - 30 = 45

So, xx has a total score of 45.

Would you like more details or have any other questions? Here are some related questions:

  1. How would the score change if xx got 20 questions correct?
  2. What would xx's score be if each incorrect answer deducted 5 points instead of 3?
  3. How many correct answers would xx need to achieve a score of 60?
  4. If the deduction for each incorrect answer doubled, how would this affect xx's score?
  5. What is the minimum number of correct answers xx 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

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Suitable Grade Level

Grades 5-7