Example 6 - Ratio of distance of the school from Mary’s home to John's

Example 6 - Chapter 12 Class 6 Ratio And Proportion - Part 2
Example 6 - Chapter 12 Class 6 Ratio And Proportion - Part 3 Example 6 - Chapter 12 Class 6 Ratio And Proportion - Part 4 Example 6 - Chapter 12 Class 6 Ratio And Proportion - Part 5

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Example 6 - Chapter 12 Class 6 Ratio and Proportion - Class 6 Ratio of distance of the school from Mary’s home to the distance of the school from John’s home is 2 : 1. (a) Who lives nearer to the school? Given Ratio of distance of school from Mary’s home to the distance of the school from John’s home is 2 : 1 ∴ (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 𝑀𝑎𝑟𝑦^′ 𝑠 ℎ𝑜𝑚𝑒 𝑡𝑜 𝑠𝑐ℎ𝑜𝑜𝑙)/(𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 𝐽𝑜ℎ𝑛^′ 𝑠 ℎ𝑜𝑚𝑒 𝑡𝑜 𝑠𝑐ℎ𝑜𝑜𝑙) = 2/1 Distance of Mary’s home to school = 2 × Distance of John’s home to school So, Mary lives at twice as much distance as John ∴ John lives nearer to school Example 6 Ratio of distance of the school from Mary’s home to the distance of the school from John’s home is 2 : 1. (b) Complete the following table which shows some possible distances that Mary and John could live from the school. 10/5 = "⎕" /4 10 × 4 ="⎕" × 5 "⎕" × 5 = 10 × 4 "⎕" = (10 × 4)/5 "⎕" = 2 × 4 "⎕" = 8 km 10/5 = 4/"⎕" 10 × "⎕" = 4 × 5 "⎕" = (4 × 5)/10 "⎕" = 4/2 "⎕" = 2 km 10/5 = "⎕" /3 10 × 3 ="⎕" × 5 "⎕" × 5 = 10 × 3 "⎕" = (10 × 3)/5 "⎕" = 2 × 3 "⎕" = 6 km 10/5 = "⎕" /1 10 × 1 ="⎕" × 5 "⎕" × 5 = 10 × 1 "⎕" = (10 × 1)/5 "⎕" = 2 × 1 "⎕" = 2 km Example 6 Ratio of distance of the school from Mary’s home to the distance of the school from John’s home is 2 : 1. (c) If the ratio of distance of Mary’s home to the distance of Kalam’s home from school is 1 : 2, then who lives nearer to the school? Given Distance of Mary’ home : Distance of Kalam’s home = 1 : 2 i.e (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 𝑀𝑎𝑟𝑦^′ 𝑠 ℎ𝑜𝑚𝑒)/(𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 𝑘𝑎𝑙𝑎𝑚^′ 𝑠 ℎ𝑜𝑚𝑒) = 1/2 2 × Distance of Mary’s home = 1 × Distance of Kalam’s home 2 × Distance of Mary’s home = Distance of Kalam’s home ∴ Kalam’s home is twice as far as Mary’s home from school So, Mary lives nearer to school

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.