4 3.1.2 \( \frac{1}{4}: \frac{1}{12}: \frac{1}{6} \) \( \qquad \) \( \qquad \) (2) 3.2 Calculate the value of \( x \) if : \[ 3: 2=21: x \] \( \qquad \) \( \qquad \) \( \qquad \) (2) 3.3 Share 60 oranges amongst 3 Grade 8 learners in the ratio \( 2: 5: 3 \). \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) (3) 3.4 If the ratio of boys to girls in a school is \( 4: 7 \) and there are 200 boys, calculate the total number of learners in the school. \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) (3) 3.5 A jar is filled with R2 - coins and R5 - coins. The ratio of the number of R2 - coins to the ratio of the number of R5 - coins is \( 5: 7 \). There are 245 R5 - coins in the jar. 3.5.1 How many R2 - coins are in the jar? \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) (3)
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Beyond the Answer
Have you ever wondered how ratios pop up all around us? From cooking delicious recipes to mixing the perfect paint colors, ratios are like the secret codes of the universe that help us blend things together harmoniously! In everyday life, understanding ratios can help you make the most accurate decisions, whether it’s doubling a recipe or figuring out the best seat in a movie theater relative to its screen size! Now, if you dive deeper into the world of ratios, you'll find some fascinating puzzles where creative thinking stands out! For instance, when tackling ratio problems in math, be on the lookout for common pitfalls. A frequent misstep is forgetting to reduce ratios to their simplest form, which can lead to confusion. Ensuring all parts of the ratio are expressed in whole numbers is crucial before jumping into calculations—because let’s face it, nobody likes unnecessary complications!
