Suki Saved $252. This Is 63% Of What She Needs For A New Stereo. How Much Is The New Stereo? Type Your Answer Here: ______Submit

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Solving Percent Problems: Finding the Cost of a New Stereo

Understanding the Problem

Suki has saved $252, which is 63% of the total cost of a new stereo. To find the total cost of the stereo, we need to use the concept of percentages and solve for the unknown value.

What is a Percentage?

A percentage is a way to express a value as a fraction of 100. In this case, 63% means 63 out of 100, or 0.63 as a decimal. To find the total cost of the stereo, we can set up an equation using the percentage and the amount Suki has saved.

Setting Up the Equation

Let x be the total cost of the stereo. We know that 63% of x is equal to $252. We can write this as an equation:

0.63x = 252

Solving for x

To solve for x, we can divide both sides of the equation by 0.63:

x = 252 / 0.63

Calculating the Value

Now, we can calculate the value of x:

x = 400

The Final Answer

The total cost of the new stereo is $400.

Why is this Problem Important?

This problem is important because it demonstrates how to use percentages to solve real-world problems. In many situations, we need to find a value that is a certain percentage of a total amount. By understanding how to set up and solve equations with percentages, we can make informed decisions and solve problems in a variety of contexts.

Real-World Applications

Percentages are used in many real-world applications, such as:

  • Calculating tips at a restaurant
  • Finding the cost of a item on sale
  • Determining the interest rate on a loan
  • Understanding the percentage of a population that has a certain characteristic

Conclusion

In this article, we solved a problem involving percentages to find the cost of a new stereo. We set up an equation using the percentage and the amount Suki has saved, and then solved for the unknown value. This problem demonstrates the importance of understanding percentages and how to use them to solve real-world problems.

Additional Practice Problems

If you want to practice solving problems involving percentages, try the following:

  • A shirt is on sale for 25% off. If the original price is $50, how much will you pay for the shirt?
  • A bank account earns 6% interest per year. If you have $1,000 in the account, how much will you have after one year?
  • A car is priced at $20,000, and you have a 10% discount coupon. How much will you pay for the car?

Answer Key

  • A shirt is on sale for 25% off. If the original price is $50, you will pay $37.50.
  • A bank account earns 6% interest per year. If you have $1,000 in the account, you will have $1,060 after one year.
  • A car is priced at $20,000, and you have a 10% discount coupon. You will pay $18,000 for the car.
    Solving Percent Problems: Q&A

Understanding Percentages

Percentages are a way to express a value as a fraction of 100. In this article, we will answer some common questions about percentages and provide examples to help you understand how to use them to solve problems.

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of 100. For example, 25% means 25 out of 100, or 0.25 as a decimal.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, divide the percentage by 100. For example, 25% is equal to 0.25.

Q: How do I convert a decimal to a percentage?

A: To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.25 is equal to 25%.

Q: What is the difference between a percentage and a fraction?

A: A percentage is a way to express a value as a fraction of 100, while a fraction is a way to express a value as a part of a whole. For example, 25% is equal to 1/4.

Q: How do I calculate a percentage of a value?

A: To calculate a percentage of a value, multiply the value by the percentage as a decimal. For example, if you want to find 25% of $100, multiply $100 by 0.25.

Q: How do I find the total value of an item that is on sale?

A: To find the total value of an item that is on sale, multiply the original price by the percentage of the discount. For example, if an item is on sale for 25% off and the original price is $100, the sale price is $75.

Q: How do I calculate the interest on a loan?

A: To calculate the interest on a loan, multiply the principal amount by the interest rate as a decimal. For example, if you have a loan of $1,000 with an interest rate of 6%, the interest is $60.

Q: How do I find the cost of an item that is on sale?

A: To find the cost of an item that is on sale, multiply the original price by the percentage of the discount. For example, if an item is on sale for 25% off and the original price is $100, the sale price is $75.

Q: How do I calculate the total cost of an item that includes tax?

A: To calculate the total cost of an item that includes tax, multiply the price of the item by the tax rate as a decimal. For example, if an item costs $100 and the tax rate is 8%, the total cost is $108.

Q: How do I find the percentage of a value that is a certain amount?

A: To find the percentage of a value that is a certain amount, divide the amount by the value and multiply by 100. For example, if you want to find 25% of $100, divide $25 by $100 and multiply by 100.

Q: How do I calculate the interest on a savings account?

A: To calculate the interest on a savings account, multiply the principal amount by the interest rate as a decimal. For example, if you have a savings account of $1,000 with an interest rate of 6%, the interest is $60.

Conclusion

Percentages are an important concept in mathematics, and understanding how to use them can help you solve a wide range of problems. By following the examples and tips provided in this article, you can become more confident in your ability to work with percentages and solve problems involving them.

Additional Practice Problems

If you want to practice solving problems involving percentages, try the following:

  • A shirt is on sale for 25% off. If the original price is $50, how much will you pay for the shirt?
  • A bank account earns 6% interest per year. If you have $1,000 in the account, how much will you have after one year?
  • A car is priced at $20,000, and you have a 10% discount coupon. How much will you pay for the car?

Answer Key

  • A shirt is on sale for 25% off. If the original price is $50, you will pay $37.50.
  • A bank account earns 6% interest per year. If you have $1,000 in the account, you will have $1,060 after one year.
  • A car is priced at $20,000, and you have a 10% discount coupon. You will pay $18,000 for the car.