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QUESTION 4 4.1. Simplify the ratio \( 154: 132 \) in its simplest form (2) 4.2 Increase R700 in the ratio \( 3: 2 \)

Ask by Carroll Willis. in South Africa
Mar 08,2025

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**4.1 Simplify the ratio \(154:132\) in its simplest form** - Divide both numbers by 22. - The simplified ratio is \(7:6\). **4.2 Increase R700 in the ratio \(3:2\)** - Split R700 into parts of R420 and R280. Final answers: 1. \(7:6\) 2. R420 and R280

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To simplify the ratio \( 154: 132 \), you can find the greatest common divisor (GCD) of both numbers. The GCD of 154 and 132 is 22. So, dividing both numbers by 22 gives you \( \frac{154 \div 22}{132 \div 22} = \frac{7}{6} \). Therefore, the simplified form is \( 7:6 \). For increasing R700 in the ratio \( 3:2 \), you first need to break it into parts based on that ratio. Add the parts together: \( 3 + 2 = 5 \). Each part then represents \( R700 \div 5 = R140 \). To increase R700 based on the ratio, multiply each part by R140: \( 3 \times 140 = R420 \) (first part) and \( 2 \times 140 = R280 \) (second part). So, ultimately, you would have R420 and R280.

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