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

To divide 240 g in the ratio \( 5: 3: 4 \), first, you need to find the total parts of the ratio, which is \( 5 + 3 + 4 = 12 \). Then, each part is calculated by dividing the total weight by the total parts, giving you \( 240 g ÷ 12 = 20 g \) per part. Now, multiply each ratio by the value of one part: - For 5 parts: \( 5 × 20 g = 100 g \) - For 3 parts: \( 3 × 20 g = 60 g \) - For 4 parts: \( 4 × 20 g = 80 g \) So the final division is \( 100 g, 60 g, \) and \( 80 g \). In ancient societies, ratios were crucial for trade and resource allocation. For example, the Egyptians utilized ratios to divide farmland and grains efficiently. Understanding how to divide resources proportionally has roots in historical practices that ensured fairness and equity in distribution—principles still vital in today’s economics and finance! Ratio problems extend beyond the classroom! In cooking, for instance, adjusting a recipe for a different number of servings often requires converting ingredient amounts using ratios. If a recipe is designed for four servings but you need it for six, extending recipes can be as simple as figuring out the ratio of the new servings to the original—turning math into a deliciously fun outcome!