Math Problem Statement

IV. Solve for the Percentage, Base and Rate. (8 points)

1.) 8 is what % of 40? ________________ 3.) 12 is 10% of what number? ________________

2.) What is 42% of 50? ________________ 4.) Find 60% of 20. _______________

Solution

Here are the solutions for the problems:

1. 8 is what % of 40?

We use the formula: Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 Percentage=(840)×100=20%\text{Percentage} = \left(\frac{8}{40}\right) \times 100 = 20\%

Answer: 8 is 20% of 40.


2. What is 42% of 50?

We use the formula: Part=Percentage×Whole\text{Part} = \text{Percentage} \times \text{Whole} Part=0.42×50=21\text{Part} = 0.42 \times 50 = 21

Answer: 42% of 50 is 21.


3. 12 is 10% of what number?

We use the formula: Whole=PartPercentage\text{Whole} = \frac{\text{Part}}{\text{Percentage}} Whole=120.10=120\text{Whole} = \frac{12}{0.10} = 120

Answer: 12 is 10% of 120.


4. Find 60% of 20.

We use the formula: Part=Percentage×Whole\text{Part} = \text{Percentage} \times \text{Whole} Part=0.60×20=12\text{Part} = 0.60 \times 20 = 12

Answer: 60% of 20 is 12.


Would you like additional details or practice on this topic? Here are 5 related questions for further practice:

  1. What is 30% of 90?
  2. If 25 is 50% of a number, what is the number?
  3. Find 15% of 200.
  4. 9 is what percentage of 45?
  5. A number is 5% of 400. What is the number?

Tip: When calculating percentages, convert the percentage to a decimal by dividing by 100. This simplifies calculations.

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Math Problem Analysis

Mathematical Concepts

Percentage calculations
Ratios
Basic arithmetic

Formulas

Percentage = (Part / Whole) × 100
Part = Percentage × Whole
Whole = Part / Percentage

Theorems

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Suitable Grade Level

Grades 5-7