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The Deep Dive
To divide 50 in the ratio of \( 3:2 \), you first need to determine the total number of parts in the ratio. Add the parts together: \( 3 + 2 = 5 \). Now, divide 50 by the total number of parts: \( 50 ÷ 5 = 10 \). To find each share, multiply the number of parts by the value of each part: \( 3 × 10 = 30 \) and \( 2 × 10 = 20 \). So, you would get 30 and 20. Now, if you're ever unsure about ratios, a fun trick is to visualize them! Picture two different types of fruit: three apples and two oranges. This way, you can literally see that for every three apples, there are two oranges - just like the ratio you’re dividing! When working with ratios, don’t forget to check if you made common mistakes like forgetting to sum the parts first or miscalculating your division. Always recheck your calculations, and remember that practice makes perfect!
