Math Problem Statement

Calculate the full amount of money for each of the following: 75% of $27, 60% of $300, 5% of $40, 8% of $44, 12% of $132, and 6% of $18.

Solution

I see that you've uploaded an image containing a math homework assignment. The task involves calculating the full amount of money for given percentages. Here are the specific problems from the image:

Homework:

Calculate the full amount of money for each of the following:

  1. 75% of an amount of money is $27.
  2. 60% of an amount of money is $300.
  3. 5% of an amount of money is $40.
  4. 8% of an amount of money is $44.
  5. 12% of an amount of money is $132.
  6. 6% of an amount of money is $18.

Let's solve each problem step by step.


Solutions:

  1. 75% of an amount of money is $27: Let the full amount be x.\text{Let the full amount be } x. 0.75x=270.75x = 27 Solving for xx: x=270.75=36x = \frac{27}{0.75} = 36 The full amount is $36.

  2. 60% of an amount of money is $300: 0.60x=3000.60x = 300 Solving for xx: x=3000.60=500x = \frac{300}{0.60} = 500 The full amount is $500.

  3. 5% of an amount of money is $40: 0.05x=400.05x = 40 Solving for xx: x=400.05=800x = \frac{40}{0.05} = 800 The full amount is $800.

  4. 8% of an amount of money is $44: 0.08x=440.08x = 44 Solving for xx: x=440.08=550x = \frac{44}{0.08} = 550 The full amount is $550.

  5. 12% of an amount of money is $132: 0.12x=1320.12x = 132 Solving for xx: x=1320.12=1100x = \frac{132}{0.12} = 1100 The full amount is $1,100.

  6. 6% of an amount of money is $18: 0.06x=180.06x = 18 Solving for xx: [ x = \frac{18}{0.06} = 300

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Math Problem Analysis

Mathematical Concepts

Percentage
Basic Algebra

Formulas

Percentage formula: x = (Amount / Percentage)
General percentage equation: Percentage = (Part / Whole) * 100

Theorems

Basic proportion theorem in percentage calculations

Suitable Grade Level

Grades 6-8