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  1. Chapter 2 Class 8 Linear Equations in One Variable
  2. Serial order wise
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Ex 2.2, 16 The organisers of an essay competition decide that a winner in the competition gets a prize of Rs 100 & a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3,000. Find the number of winners, if the total number of participants is 63.Given, Prize given to the Winner = Rs 100 Prize given to the participants who did not win = Rs 25 Total Prize money = Rs 3,000 Total number of participants = 63 Let the numbers of winners = ๐‘ฅ Then, Total no. of participants = Number of winners + Number of participants who did not win 63 = ๐‘ฅ + Number of participants who did not win 63 โˆ’ ๐‘ฅ = Number of participants who did not win Number of participants who did not win = 63 โˆ’ ๐‘ฅ Total amount given to the winners = Number of winners ร— Amount given to 1 winner = ๐‘ฅ ร— 100 = 100๐‘ฅ Total amount given to the participants who did not win = Number of participants who did not win ร— Amount given to 1 participant = (63 โˆ’ ๐‘ฅ) ร— 25 = 63 ร— 25 โˆ’ ๐‘ฅ ร— 25 = 1575 โˆ’ 25๐‘ฅ Total prize money = Total amount given to winners + Total amount given to participants who did not win 3000 = 100๐‘ฅ + 1575 โˆ’ 25๐‘ฅ 100๐‘ฅ + 1575 โˆ’ 25๐‘ฅ = 3000 75๐‘ฅ + 1575 = 3000 75๐‘ฅ = 3000 โˆ’ 1575 75๐‘ฅ = 1425 ๐‘ฅ = 1425/75 ๐‘ฅ = 19 Therefore, the number of winners = 19

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.