Question
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Answer the following questions. \[ \begin{array}{l}\text { (a) } 186 \% \text { of what is } 56.73 \text { ? } \\ \text { (b) What number is } 26.8 \% \text { of } 67.5 ?\end{array} \]

Ask by Schultz Gonzalez. in Qatar
Dec 02,2024

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Answer

(a) 186% of 30.5 is 56.73. (b) 26.8% of 67.5 is 18.09.

Solution

To solve these problems, we will use the formula for finding a percentage of a number: \[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \] Let's solve each part separately: ### Part (a): Given: - Percentage: 186% - Part: 56.73 We need to find the Whole. Using the formula: \[ \text{Whole} = \frac{\text{Part}}{\text{Percentage}} \times 100 \] Substitute the given values: \[ \text{Whole} = \frac{56.73}{186} \times 100 \] Now, we can calculate the Whole. ### Part (b): Given: - Percentage: 26.8% - Whole: 67.5 We need to find the Part. Using the formula: \[ \text{Part} = \frac{\text{Percentage}}{100} \times \text{Whole} \] Substitute the given values: \[ \text{Part} = \frac{26.8}{100} \times 67.5 \] Now, we can calculate the Part. Calculate the value by following steps: - step0: Calculate: \(\frac{56.73}{186}\times 100\) - step1: Divide the terms: \(\frac{61}{200}\times 100\) - step2: Reduce the numbers: \(\frac{61}{2}\) Calculate or simplify the expression \( 26.8/100*67.5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{26.8}{100}\times 67.5\) - step1: Divide the terms: \(\frac{67}{250}\times 67.5\) - step2: Convert the expressions: \(\frac{67}{250}\times \frac{135}{2}\) - step3: Multiply the numbers: \(\frac{1809}{100}\) ### Answers: (a) 186% of what is 56.73 is 30.5. (b) 26.8% of 67.5 is 18.09.

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To find the answers to your questions, let's break them down one by one. (a) To determine "186% of what is 56.73?", we can set up the equation: \[ 186\% \times x = 56.73 \] This can be rephrased as: \[ 1.86x = 56.73 \] Now, divide both sides by 1.86: \[ x = \frac{56.73}{1.86} \approx 30.5 \] So, 186% of approximately 30.5 is 56.73. (b) To find "What number is 26.8% of 67.5?", we can set up the equation: \[ y = 26.8\% \times 67.5 \] Converting the percentage into a decimal, we get: \[ y = 0.268 \times 67.5 \approx 18.09 \] Therefore, 26.8% of 67.5 is approximately 18.09.

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