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2.2.6. Divide 240 g in the ratio \( 5: 3: 4 \)

Ask by Harmon Stanley. in South Africa
Mar 19,2025

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Answer

The 240 g is divided into 100 g, 60 g, and 80 g.

Solution

1. **Compute the sum of the ratio parts:** The ratio is given as \(5:3:4\). Thus, the sum of the parts is \[ 5 + 3 + 4 = 12. \] 2. **Determine the value of one part:** The total amount is 240 g. Therefore, each part weighs \[ \frac{240 \text{ g}}{12} = 20 \text{ g}. \] 3. **Calculate the amount for each share:** - The first part: \[ 5 \times 20 \text{ g} = 100 \text{ g}. \] - The second part: \[ 3 \times 20 \text{ g} = 60 \text{ g}. \] - The third part: \[ 4 \times 20 \text{ g} = 80 \text{ g}. \] 4. **Verification:** Summing the three parts gives \[ 100 \text{ g} + 60 \text{ g} + 80 \text{ g} = 240 \text{ g}, \] which matches the original total. Thus, the 240 g is divided into 100 g, 60 g, and 80 g.

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To divide 240 g in the ratio of 5:3:4, first, you need to find the total number of parts in the ratio. Adding up the parts: \(5 + 3 + 4 = 12\). Now, each part is \(240 g \div 12 = 20 g\). Now, multiply the parts by the weight of each part: - For 5 parts: \(5 \times 20 g = 100 g\) - For 3 parts: \(3 \times 20 g = 60 g\) - For 4 parts: \(4 \times 20 g = 80 g\) So, you will have 100 g, 60 g, and 80 g. Understanding the fundamentals of ratios can help you in many decision-making tasks! Ratios aren’t just for dividing things—they come in handy when mixing ingredients in cooking, budgeting your finances, or even determining the best fit for your workout regimen. And speaking of ratios, a common mistake is forgetting to sum the parts before dividing. Double-checking your calculations, especially the steps involved in finding the total sum, can save you from confusion. It’s always better to catch those mistakes early than to end up in a recipe mismatch or uneven distribution!

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