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Chapter 3: Problem 17

Solve the percent problem. What number is 25% of 80?

Short Answer

Expert verified
The number that represents 25% of 80 is 20.

Step by step solution

01

Convert Percent to Decimal

In order to find the solution, the first step is to convert 25% to a decimal. This can be done by taking the number 25 (representing 25%) and dividing it by 100. As a result, we obtain 0.25.
02

Multiply the Decimal by 80

The second step is to multiply the decimal number obtained in the first step (i.e., 0.25) by the number 80. Hence, 0.25 multiplied by 80 equals to 20.

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Key Concepts

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

Converting Percents to Decimals
When dealing with percentages, the first step in solving percent problems is converting the percent into a decimal. This transformation is crucial because it allows you to use basic arithmetic operations on the number. To convert a percent to a decimal, simply divide the percentage value by 100. For example, to convert 25% into a decimal, divide 25 by 100, resulting in 0.25. This conversion is the foundation for further calculations, making it an essential skill in both mathematics and real-world applications. This process helps simplify percent problems, enabling you to solve them with ease.
Basic Arithmetic
Basic arithmetic involves foundational operations such as addition, subtraction, multiplication, and division. These operations are the building blocks of math that allow us to manipulate numbers and solve problems.

In the context of percent problems, basic arithmetic is essential. For example, once you've converted a percentage to a decimal, you typically multiply to find the value of the percentage of a number. Understanding these basic operations enables you to tackle more complex math problems with confidence. Using these operations correctly is key to arriving at the right solution without errors.
Multiplication
Multiplication is one of the core operations in arithmetic, and it is vital for solving percent problems efficiently. Once you have a decimal from converting a percentage, the next step is often to multiply it by another number to find the portion the percentage represents.

In our example, once we converted 25% to 0.25, we multiplied this decimal by 80. The multiplication process here is straightforward: you calculate 0.25 times 80 to get the result, which is 20.
  • The main idea behind multiplication in percent problems is combining fractions of quantities to get totals.
  • It provides a quick way to find how much one number is of another.
Understanding multiplication makes it easier to quickly tackle various math-related scenarios, from simple exercises to real-life situations involving percentages.

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Most popular questions from this chapter

Steamboats carried cotton and passengers up and down the Mississippi River in the mid- 1800 s. A steamboat could travel 8 miles per hour downstream from Natchez, Mississippi, to New Orleans, Louisiana, and only 3 miles per hour upstream from New Orleans to Natchez. It was about 265 miles each way. If it took a steamboat 55 more hours to go upstream than it did to go downstream, how long did it take to complete the roundtrip? Solve \(8 t=3(t+55),\) where \(t\) is the time (in hours) it takes the steamboat to travel downstream and \((t+55)\) is the time it takes to travel upstream.

Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{7}{22} \cdot \frac{22}{7} $$

Solve the equation. $$ x+7=-14 $$

In Exercises 43鈥�45, use the following information. School buses that have 71 seats will be used to transport 162 students and 30 adults. Write an equation to find the number of buses needed.

Write the fraction in simplest form. $$ \frac{16}{32} $$
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