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MA62052.205 MS MATH 6 - NISTLER DUE PRACTICE TEST:Topic 6 Final TesE: Percents Feb 26 - 11:59 pm There are 500 sheets of printer paper in a package. Erin uses \( 18 \% \) of the paper when she prints a report for social studies class. About how many sheets of paper does Erin use for her report? Explain. \( 18 \% \) is about \( \square \) This estimated percent as a fraction is \( \square \) . So, Erin used about that amount of the total sheets, or about \( \square \) sheets. (Type integers or fractions.)

Ask by Crawford Brooks. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

Erin used 90 sheets of paper for her report.

Solution

To solve the problem step by step, we will follow these instructions: 1. **Extract known conditions:** - Total sheets of paper in a package: \( 500 \) - Percentage of paper used by Erin: \( 18\% \) 2. **Calculate the number of sheets Erin uses:** - First, we need to convert the percentage into a decimal to calculate the actual number of sheets used. The decimal equivalent of \( 18\% \) is \( 0.18 \). - Next, we multiply the total number of sheets by the decimal equivalent of the percentage. \[ \text{sheets used} = 500 \times 0.18 \] 3. **Perform the calculation:** \[ \text{sheets used} = 500 \times 0.18 = 90 \] 4. **Fill in the blanks:** - \( 18\% \) is about \( 0.18 \). - This estimated percent as a fraction is \( \frac{18}{100} \) or simplified to \( \frac{9}{50} \). - So, Erin used about that amount of the total sheets, or about \( 90 \) sheets. ### Final Answers: - \( 18\% \) is about \( 0.18 \). - This estimated percent as a fraction is \( \frac{9}{50} \). - So, Erin used about that amount of the total sheets, or about \( 90 \) sheets.

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The Deep Dive

To find how many sheets of paper Erin uses for her report, we start with 18% as a decimal, which is \( 0.18 \). The fraction equivalent is \( \frac{18}{100} \) or simplified to \( \frac{9}{50} \). Now, we calculate \( 18\% \) of 500 sheets: \[ 500 \times 0.18 = 90 \] So, Erin used about **90 sheets** of paper for her report. Now, it's fun to think about how this could translate into real-world applications! For example, the same percentage concept applies when budgeting. If you have $500 and decide to save 18%, you’d save $90. It's a handy way to keep track of both expenses and savings! In terms of problem-solving, one common mistake is forgetting to convert the percentage into a decimal or fraction before multiplying. Always check your work by estimating first; rounding 18% to a nearby benchmark, like 20%, can sometimes give you a quicker sense of the outcome before refining the exact calculations!

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