Answered

Match the percent expression to the equivalent dollar amount.



Amounts:

  • \$90
  • \$100
  • \$88
  • \$75



Expressions:

  • 220\% of \$40
  • 150\% of \$60
  • 300\% of \$25
  • 125\% of \$80

Verified Answer :

  • Convert each percentage to a decimal by dividing by 100.
  • Multiply the decimal by the given dollar amount to find the equivalent value.
  • The results are as follows:
  • \(220\%\) of \(\$40 = \boxed{\$88}\)
  • \(150\%\) of \(\$60 = \boxed{\$90}\)
  • \(300\%\) of \(\$25 = \boxed{\$75}\)
  • \(125\%\) of \(\$80 = \boxed{\$100}\)

Explanation

  1. Data and Problem Analysis

To match the percent expressions to their equivalent dollar amounts, we first identify the given problems and the available options:
Problems:

  1. \(220\%\) of \(\$40\)
  2. \(150\%\) of \(\$60\)
  3. \(300\%\) of \(\$25\)
  4. \(125\%\) of \(\$80\)

Options: \(\$90\), \(\$100\), \(\$88\), \(\$75\).

The goal is to calculate the value of each expression by converting the percentage into a decimal form (by dividing by 100) and then multiplying it by the corresponding dollar amount.

  1. Calculations

We calculate each problem individually:

  1. For \(220\%\) of \(\$40\):

\(\frac{220}{100} \times 40 = 2.2 \times 40 = \$88\)

  1. For \(150\%\) of \(\$60\):

\(\frac{150}{100} \times 60 = 1.5 \times 60 = \$90\)

  1. For \(300\%\) of \(\$25\):

\(\frac{300}{100} \times 25 = 3 \times 25 = \$75\)

  1. For \(125\%\) of \(\$80\):

\(\frac{125}{100} \times 80 = 1.25 \times 80 = \$100\)

  1. Conclusion and Final Answer

Now we match our results to the provided options:

  • \(220\%\) of \(\$40\) corresponds to \(\$88\).
  • \(150\%\) of \(\$60\) corresponds to \(\$90\).
  • \(300\%\) of \(\$25\) corresponds to \(\$75\).
  • \(125\%\) of \(\$80\) corresponds to \(\$100\).

All calculations are consistent with the given options. The final results are:

  1. \(220\%\) of \(\$40 = \boxed{\$88}\)
  2. \(150\%\) of \(\$60 = \boxed{\$90}\)
  3. \(300\%\) of \(\$25 = \boxed{\$75}\)
  4. \(125\%\) of \(\$80 = \boxed{\$100}\)

Examples

Percentages are essential in daily life for financial literacy. For instance, if you are shopping and see an item discounted by a percentage, or if you need to calculate interest on a loan, understanding how to convert percentages into actual currency values is key. Mastering these calculations helps you make informed spending decisions and accurately manage your personal budget.

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