Math Problem Statement

Christian earned a grade of 67% on his multiple choice science final that had a total of 200 problems. How many problems on the final exam did Christian answer correctly?

Solution

To find out how many problems Christian answered correctly, we multiply the total number of problems by his percentage score:

Correct Answers=(67100)×200\text{Correct Answers} = \left(\frac{67}{100}\right) \times 200

=0.67×200= 0.67 \times 200

=134= 134

So, Christian answered 134 problems correctly on his final exam.

Would you like a breakdown of the steps or have any questions?

Related Questions:

  1. How many questions did Christian answer incorrectly?
  2. If Christian wanted to score at least 75%, how many more questions would he have needed to answer correctly?
  3. If each question was worth the same number of points, how many points did Christian earn?
  4. What would Christian’s grade be if he answered 150 questions correctly?
  5. If another student scored 82% on the same test, how many questions did they get right?

Tip: Always convert percentages to decimals before multiplying for quick calculations.

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Math Problem Analysis

Mathematical Concepts

Percentages
Basic Arithmetic
Proportions

Formulas

Correct Answers = (Percentage / 100) * Total Problems

Theorems

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Suitable Grade Level

Grades 6-8