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Chapter 6: Problem 72

Change 200 pints to gallons.

Short Answer

Expert verified
200 pints is equal to 25 gallons.

Step by step solution

01

Identify the conversion factor

To begin converting pints to gallons, we need to know the conversion factor. There are 8 pints in a gallon.
02

Set up the conversion equation

To convert pints to gallons, we use the conversion factor from Step 1. The equation is: \[ \text{Gallons} = \frac{\text{Pints}}{8} \]
03

Perform the calculation

Substitute the number of pints into the equation: \[ \text{Gallons} = \frac{200}{8} \]
04

Calculate the result

Calculate \( \frac{200}{8} = 25 \). This means that 200 pints is equal to 25 gallons.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conversion Factor
A conversion factor is a number used to change one set of units into another, making it a fundamental concept in unit conversion. In our case, we focus on the conversion between pints and gallons. A conversion factor serves as the bridge that connects two different units, providing a mathematical way to switch between them.
  • Establishes the relationship between the units involved
  • Allows for accurate calculation between different measurement systems
For pints and gallons, the established conversion factor is: there are 8 pints in 1 gallon. Knowing this helps us translate a quantity measured in pints into the equivalent number of gallons.
Pints to Gallons
When converting from pints to gallons, it is essential to use the conversion factor correctly. This involves setting up an equation that uses the conversion factor to find the desired unit鈥攊n this case, gallons. This process simplifies the conversion and ensures accuracy: 1. Identify the conversion factor: 8 pints = 1 gallon.2. Set up an equation using the conversion factor: Begin with the equation \[ \text{Gallons} = \frac{\text{Pints}}{8} \] This formula provides the means to transform pints into gallons.3. Substitute the known value into the equation, as demonstrated in the example above by substituting 200 pints.
Arithmetic Calculation
Arithmetic calculation in conversions is a straightforward process once the proper conversion equation is set up. Let's break down the steps involved in completing the conversion calculation:
  • Identify the number of units to convert鈥攊n this example, 200 pints.
  • Input these units into the established equation: \[ \text{Gallons} = \frac{200}{8} \]
  • Perform the division鈥攄ivide 200 by 8.
Completing the calculation gives us the final answer. Here, dividing 200 by 8 results in 25. Thus, 200 pints convert to 25 gallons. Keeping arithmetic simple ensures an error-free conversion, a valuable skill in everyday measurement tasks.

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