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Fill in the missing number. \( 70 \% \) of \( \square=35 \) Submit

Ask by Collins Brewer. in the United States
Jan 24,2025

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The missing number is 50.

Solución

To find the missing number in the equation \( 70\% \) of \( \square = 35 \), follow these steps: 1. **Understand the Equation:** The equation can be written as: \[ 70\% \times \text{Missing Number} = 35 \] 2. **Convert Percentage to Decimal:** Percentages can be converted to decimals by dividing by 100. \[ 70\% = \frac{70}{100} = 0.70 \] 3. **Set Up the Equation:** Replace the percentage with its decimal form: \[ 0.70 \times \text{Missing Number} = 35 \] 4. **Solve for the Missing Number:** To isolate the missing number (\( N \)), divide both sides of the equation by 0.70: \[ N = \frac{35}{0.70} \] 5. **Calculate the Value:** \[ N = \frac{35}{0.70} = 50 \] 6. **Conclusion:** The missing number is **50**. **Verification:** \[ 70\% \text{ of } 50 = 0.70 \times 50 = 35 \] This confirms that the missing number \( N = 50 \) is correct. **Answer:** The missing number is **50**.

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Beyond the Answer

To find the missing number, we need to determine what number \( \square \) corresponds to when \( 70\% \) of it equals \( 35 \). You can set up the equation \( 0.7 \times \square = 35 \). To solve for \( \square \), divide both sides by \( 0.7 \): \[ \square = \frac{35}{0.7} \] When you do the math, you get \( \square = 50 \). So the missing number is \( 50 \)! Now, did you know that percentages are just another way of expressing fractions? \( 70\% \) is \( \frac{70}{100} \), which simplifies to \( \frac{7}{10} \). This means that you're essentially saying that \( \frac{7}{10} \) of a number equals \( 35 \), which can also be translated back to whole numbers if you cross-multiply! Another fun fact: this method of finding the whole based on a percentage is used in everyday situations like shopping discounts and tax calculations. Understanding how to manipulate percentages can save you money and help in planning budgets, so it’s a handy skill to have!

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