4.2 Calculate the value of \( a \) if: (2) 4.3 increase 5200 kg in the ratio \( 2: 5 \) (2) \( \qquad \) 4.4 Share 90 sweets in the following ratio \( 5: 3: 7 \) \( \qquad \) \( \qquad \) \( \qquad \) (3) \( \qquad \) [9] QUESTION 5 5.1 It takes 7 gardeners 8 hours to plant 1680 seedlings on a piece of land. Calculate (in hours and minutes) how long it would take 12 gardeners to plant the same seedlings. \( \qquad \) \( \qquad \) (2) \( \qquad \) 5.2 A car travelling at a constant speed travels 30 km in 15 minutes. How far will it travel in 2 hours 12 minutes if it continues at the same constant speed? \( \qquad \) \( \qquad \)
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The Deep Dive
Did you know that ratios have been used since the ancient civilizations for trade and construction? The Egyptians used them in their mathematical texts, ensuring that their architectural marvels, like the pyramids, were perfectly proportioned! These principles are still relevant in various fields like design and finance today. When it comes to sharing sweets (or anything delicious), it's crucial to convert the total quantity into parts that match the given ratio. For example, in the 5:3:7 scenario, you first sum the ratio's parts (5 + 3 + 7 = 15), then determine the value of one part (90 sweets ÷ 15 = 6) before multiplying by each part of the ratio. This keeps things both sweet and fair!
