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014) - Th grade ) 0.8 solve percent equations Fill in the missing number. \( 80 \% \) of \( \square=40 \) Submit

Ask by Hodges Garrett. in the United States
Feb 20,2025

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Answer

The missing number is 50.

Solution

To solve the equation \( 80\% \) of \( x = 40 \), we can express the percentage as a decimal and set up the equation: 1. Convert \( 80\% \) to a decimal: \[ 80\% = \frac{80}{100} = 0.8 \] 2. Set up the equation: \[ 0.8 \cdot x = 40 \] 3. To find \( x \), divide both sides of the equation by \( 0.8 \): \[ x = \frac{40}{0.8} \] Now, let's calculate \( x \). \[ x = \frac{40}{0.8} \] Calculating this gives: \[ x = 50 \] Thus, the missing number is \( 50 \).

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Bonus Knowledge

To find the missing number, we can set up the equation \( 0.8 \times x = 40 \), where \( x \) is the missing number. To isolate \( x \), divide both sides by \( 0.8 \). This gives us \( x = \frac{40}{0.8} \), which simplifies to \( x = 50 \). So, 80% of 50 is 40! Solving percent equations is a practical skill you'll use in everyday life! Whether budgeting, shopping discounts, or calculating tips, knowing how to set up and solve these equations can save you time and ensure you get the best deals. Plus, it makes you sound super smart when you explain it to friends!

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