/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 20 Solve. Use the basic percent equ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 20

Solve. Use the basic percent equation. 24 is what percent of \(60 ?\)

Short Answer

Expert verified
The solution or percentage value obtained is 40%.

Step by step solution

01

Identify the part and the whole

Firstly, identify the part and the whole in the problem. Here, 24 is the part and 60 is the whole.
02

Apply the basic percent equation

Now, apply the basic percent equation. This is done by substituting the part (24) and the whole (60) into the equation. So it becomes \( \frac{24}{60} \times 100 \).
03

Calculate the Result

Calculate the value of \( \frac{24}{60} \times 100 \). Doing so will provide the percentage value, which is the solution to the problem.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Basic Percent Equation
When tackling a percentage problem, the basic percent equation is your best friend. It helps you convert information about parts and wholes into percentages. The equation is \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \].
This formula is straightforward and powerful. The percentage shows how large the 'part' is in relation to the 'whole', expressed as a number out of 100.
Keep this formula in your toolkit whenever you need to express one quantity as a percentage of another. With it, you'll easily convert a relationship between two numbers into an understandable percentage format.
Part and Whole Relationship
Understanding the role of parts and wholes is crucial when dealing with percentages. The 'whole' is the total or full quantity you're looking at. The 'part' is just a portion or a fraction of that whole.
In our exercise, 24 represents the 'part', which is a segment of the larger 'whole', 60.
  • **Whole**: The total amount or 100% of something, like a complete pie.
  • **Part**: A portion of the whole, which can be one slice of that pie.
Linking parts to wholes is like figuring out how much of the 'whole pie' you're dealing with when you only see a couple of slices. Recognizing this relationship is important for applying the basic percent equation effectively.
Calculation of Percentages
Once you've identified the part and the whole, calculations become a breeze. For example, to find what percent 24 is of 60, use the formula \[ \left( \frac{24}{60} \right) \times 100 \].
Start by dividing the part (24) by the whole (60), yielding a decimal value. This decimal represents the fraction of the whole the part is.
Next, multiply the decimal by 100. This step converts the decimal to a percentage, making it more intuitive.
Your calculation would look like this:
  • Divide: \( \frac{24}{60} = 0.4 \)
  • Multiply by 100: \( 0.4 \times 100 = 40\% \)
The result, 40%, tells you that 24 is 40 percent of 60. Calculating percentages can be tackled effortlessly using these steps.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A backpack is advertised as \(\frac{1}{3}\) off the regular price. What percent of the regular price does this represent?

Solve. Use the proportion method. 82 is \(20.5 \%\) of what?

Solve. Use the basic percent equation. Find \(10.7 \%\) of 485

Given that \(200 \%\) of \(x\) equals \(y,\) is \(x < y\) or is \(x > y ?\)

In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity, enough to serve over 1.6 million households. The nation's total electricity production that year was 4450 billion kilowatt- hours. (Source: Energy Information Administration) What percent of the total energy production was generated by wind machines?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.