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:

  1. 48 is 40% of n

    • The equation: 48=0.40×n48 = 0.40 \times n
    • To solve for nn, divide both sides by 0.40: n=480.40=120n = \frac{48}{0.40} = 120
  2. 21 is n% of 84

    • The equation: 21=n100×8421 = \frac{n}{100} \times 84
    • To solve for nn, multiply both sides by 100 and divide by 84: n=21×10084=25n = \frac{21 \times 100}{84} = 25
  3. 18% of 27 is n

    • The equation: n=18100×27n = \frac{18}{100} \times 27
    • To find nn, multiply 18% by 27: n=0.18×27=4.86n = 0.18 \times 27 = 4.86

Summary of Solutions:

  1. n=120n = 120
  2. n=25n = 25
  3. n=4.86n = 4.86

Would you like more details or further assistance with these problems? Here are some related questions:

  1. How would you solve a percentage problem when the percentage is greater than 100%?
  2. What is the process to calculate percentages in real-world applications like discounts or taxes?
  3. How do you convert a percentage to a decimal for calculation?
  4. Can percentages be negative, and what does that mean in context?
  5. 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