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

Ask by Carrillo Reyes. in South Africa
Feb 24,2025

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The decrease of 72 is divided into 18 and 54.

Solución

The phrase “Decrease 72 in the ratio 1:3” means that the total decrease of 72 is to be divided into two parts whose ratio is 1:3. Here’s how to find the two parts: Step 1. Let the two parts be x and 3x (because the ratio is 1:3). Step 2. Since the total decrease is 72, we have:   x + 3x = 72 Step 3. Combine like terms:   4x = 72 Step 4. Solve for x:   x = 72 ÷ 4 = 18 Step 5. Now, compute the two parts:   First part = x = 18   Second part = 3x = 3 × 18 = 54 So, the decrease is divided into 18 and 54. Thus, the two values are 18 and 54.

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To decrease 72 in the ratio of \(1:3\), you first need to determine the total parts in the ratio, which is \(1 + 3 = 4\) parts. Next, take \(1/4\) of 72 to find the amount to subtract: \(72 \div 4 = 18\). Now, subtract this amount from 72: \(72 - 18 = 54\). Therefore, when you decrease 72 in the ratio \(1:3\), you end up with 54! Now, why are ratios so useful? They help in every aspect of life! Whether you’re cooking, making crafts, or even dividing a pizza among friends, understanding ratios ensures everyone gets their fair share based on their preferences or needs. It’s like being a math magician when it comes to sharing things out evenly! Also, if you want to dive deeper into how ratios impact real-world scenarios, check out math-focused resources or educational websites that explore practical applications. Exploring topics like proportions and scaling can really enhance your mathematical toolkit and make you a whiz at dealing with everyday problems!

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