Did you ever Wonder

Transcript

Did you ever WonderNanjundappa wants to donate jaggery equal to Roxie’s weight and wheat equal to Estu’s weight. He is wondering how much it would cost. In order to find out, let us first describe the relationships among the quantities present. Worth of jaggery (in rupees) = Roxie’s weight in kg × cost of 1 kg jaggery. Worth of wheat (in rupees) = Estu’s weight in kg × cost of 1 kg wheat. Make necessary and reasonable assumptions for the unknowns and find the answers. Remember, Roxie is 13 years old and Estu is 11 years old. Assuming Roxie’s weight to be 45 kg and the cost of 1 kg of jaggery to be ₹70, the worth of donated jaggery is 45 × 70 = ₹3150. Assuming Estu’s weight to be 50 kg and the cost of 1 kg of wheat to be ₹50, the worth of donated wheat is 50 × 50 = ₹2500 Roxie wonders, “Instead of jaggery if we use 1-rupee coins, how many coins are needed to equal my weight?”. How can we find out? Again we need to make necessary and reasonable assumptions for the unknowns and find the answers. Let’s try to see how we can approach this question Guessing: First, make a quick, instinctive guess without doing any math. The book asks if the answer would be in the hundreds, thousands, or even crores. Calculating with Estimation: Describe the relationship between the quantities (e.g., Total Coins = Person's Weight / Weight of one coin). Make reasonable assumptions for the missing information (like the weight of a 1-rupee coin). Compute the answer based on your assumptions. Compare: Check how close your calculated estimate was to your initial guess The key takeaway is that the goal isn't to find the exact answer but to get a "reasonably close estimate" and build a better feel for numbers. The Pādayātra Problem: A new problem is introduced about a pādayātra, a traditional long-distance walk for spiritual reasons. If someone walked 400 km, how long would it have taken them? To solve this, you must make assumptions about their average daily walking distance. Can you answer this?