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Chapter 7: Problem 15

Write the percent equation. Then solve for the unknown amount. Find \(133 \%\) of 600

Short Answer

Expert verified
798

Step by step solution

01

- Understand the percent equation

The percent equation is given by: % amount = (percent / 100) * whole amountWe need to find 133% of 600.
02

- Set up the equation

Using the percent equation, substitute the known values: % amount = (133 / 100) * 600
03

- Simplify the equation

Simplify the right-hand side of the equation: % amount = 1.33 * 600
04

- Solve for the unknown amount

Multiply 1.33 by 600 to find the unknown amount: % amount = 798

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Key Concepts

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

Percent Calculation
Percent calculations are a common part of many math problems. To understand these calculations, it's important to know the basic formula:

The percent equation is represented as: \[\text{percent amount} = \frac{\text{percent}}{100} \times \text{whole amount} \] This formula lets you find the percentage of a given number.

In the example provided, we need to find what 133% of 600 is. First, we convert the percent to a decimal by dividing it by 100. This gives us 1.33. Then, we multiply this decimal by the whole amount (600) to find the percent amount. Understanding these steps will help you tackle similar percent problems easily in the future.
Solving for Unknowns
Solving for unknowns involves finding a missing value in an equation or mathematical statement. Here, the missing value is the percent amount when given the percent and the whole amount.

To set up the equation, replace the percent and whole amount with the numbers from the problem: \[\text{percent amount} = \frac{133}{100} \times 600 \]. This gives us one unknown, the percent amount, which we need to find.

It's essentially a one-step equation where you multiply to find the unknown. Getting comfortable with substituting values and solving for unknowns will make these calculations straightforward.
Simplifying Equations
Simplifying equations involves breaking down complex expressions or equations into simpler and more manageable forms.

In the provided problem, we start with \[\text{percent amount} = \frac{133}{100} \times 600 \]. We then simplify the fraction \[\frac{133}{100}\] to 1.33 by performing the division.

After this, the equation becomes \[\text{percent amount} = 1.33 \times 600 \]. Simplifying further, we multiply 1.33 by 600 to get 798. Breaking down each part of the equation step by step ensures we don鈥檛 make mistakes and simplifies our calculations.

When you understand how to simplify equations, you can solve more complicated problems with ease.

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Most popular questions from this chapter

Match the percent with its fraction form. a. \(\frac{3}{2}\) b. \(\frac{3}{4}\) c. \(\frac{2}{3}\) d. \(\frac{1}{10}\) e. \(\frac{9}{10}\) f. \(\frac{1}{4}\). $$150 \%$$

Solve the problem using a percent equation. 1.2 is what percent of \(600 ?\)

For a recent year, 6 hurricanes struck the United States coastline out of 16 named storms to make landfall. What percent does this represent?

Convert the fraction to a percent. $$\frac{11}{9}$$

In a recent survey, \(38 \%\) of people in the United States say that gas prices have affected the type of vehicle they will buy. In a sample of 500 people who are in the market for a new vehicle, how many would you expect to be influenced by gas prices?
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