Question 2 - Page 109 - Finding the Unknown - Chapter 5 Class 8 - Tales by Dots and Lines (Ganita Prakash II)

Transcript

Question 2 - Page 109 Venkayya keeps track of the coconut harvest in his farm. He calculates the average harvest per tree as 25.6. His son verifies the counts and finds that one tree’s harvest count is incorrectly noted as 3 more than the actual number. Can you find the correct average if the number of trees is 15?Now, Average harvest = (𝑻𝒐𝒕𝒂𝒍 𝑯𝒂𝒓𝒗𝒆𝒔𝒕)/(𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝑻𝒓𝒆𝒆𝒔) The question says that one tree’s harvest count is incorrectly noted as 3 more than the actual number Since we are not given actual numbers, we can use total So, we can write Incorrect Total Harvest = Actual Total harvest + 3 Incorrect Total Harvest – 3 = Actual Total harvest Actual Total harvest = Incorrect Total Harvest – 3 We need to find Correct Average To find Correct average, we need to find Actual Total Harvest Now, we are given Incorrect average = 25.6 Putting it in formula (𝐼𝑛𝑐𝑜𝑟𝑟𝑒𝑐𝑡 𝑇𝑜𝑡𝑎𝑙 𝐻𝑎𝑟𝑣𝑒𝑠𝑡)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑇𝑟𝑒𝑒𝑠) = 25.6 (𝐼𝑛𝑐𝑜𝑟𝑟𝑒𝑐𝑡 𝑇𝑜𝑡𝑎𝑙 𝐻𝑎𝑟𝑣𝑒𝑠𝑡)/15 = 25.6 Incorrect Total Harvest = 25.6 × 15 Incorrect Total Harvest = 384 Thus, we can write Actual Total harvest = Incorrect Total Harvest – 3 = 384 – 3 = 381 Finding Correct Average Actual Average harvest = (𝐴𝑐𝑡𝑢𝑎𝑙 𝑇𝑜𝑡𝑎𝑙 𝐻𝑎𝑟𝑣𝑒𝑠𝑡)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑇𝑟𝑒𝑒𝑠) = 381/15 = 127/5 = 25.4 Thus, correct average is 25.4 coconuts