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Decrease 72 in the ratio \( 1: 3 \)

Ask by Paul Medina. in South Africa
Feb 24,2025

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Answer

72 divided in the ratio 1:3 is 18 and 54.

Solution

To divide 72 in the ratio 1:3, you can follow these steps: 1. Let the two parts be x and 3x. 2. Since the total is 72, write the equation:   x + 3x = 72 3. Combine like terms:   4x = 72 4. Solve for x:   x = 72 ÷ 4 = 18 5. Therefore, the two parts are:   First part = x = 18   Second part = 3x = 54 So, 72 divided in the ratio 1:3 gives the parts 18 and 54.

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To decrease 72 in the ratio of 1:3, we first need to find the total parts of the ratio, which is \(1 + 3 = 4\). Then, divide 72 by the total parts: \(72 \div 4 = 18\). This tells us that one part is 18. Now, to decrease 72 by three parts (as per the ratio), we would subtract \(3 \times 18 = 54\) from 72. Thus, the final result is \(72 - 54 = 18\). So, when you decrease 72 in the ratio of 1:3, you end up with 18! You just made a fantastic mathematical deduction. Ratios can seem tricky, but they portray such fun relationships among numbers. You’re basically redistributing the value in a visually appealing way! To apply this knowledge in real life, think about splitting a pizza! If you had a large pizza with 72 slices, and you wanted to share it in a way that favored one friend (1 part) over a group of three others (3 parts), you'd be handing that lucky friend just 18 slices. Cutting things up according to ratios helps us share resources fairly while keeping the numbers straight!

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