Math Problem Statement
48 is 40% of n, 21 is n% of 84, 18% of 27 is n
Solution
The image contains a set of problems involving percentages. Here’s a breakdown and solution for each of the calculations:
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48 is 40% of n
- The equation:
- To solve for , divide both sides by 0.40:
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21 is n% of 84
- The equation:
- To solve for , multiply both sides by 100 and divide by 84:
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18% of 27 is n
- The equation:
- To find , multiply 18% by 27:
Summary of Solutions:
Would you like more details or further assistance with these problems? Here are some related questions:
- How would you solve a percentage problem when the percentage is greater than 100%?
- What is the process to calculate percentages in real-world applications like discounts or taxes?
- How do you convert a percentage to a decimal for calculation?
- Can percentages be negative, and what does that mean in context?
- How would you interpret a percentage that represents part of a whole, for example, "30% of a population"?
Tip: Always ensure that percentages are converted to decimals before performing multiplication or division.
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Math Problem Analysis
Mathematical Concepts
Percentages
Basic Arithmetic
Proportions
Formulas
Percentage formula: Part = (Percentage / 100) × Whole
Rearranging for Whole: Whole = Part / (Percentage / 100)
Rearranging for Percentage: Percentage = (Part / Whole) × 100
Theorems
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Suitable Grade Level
Grades 5-7