Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Solving easy equations - Word Problems
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 Important Deleted for CBSE Board 2024 Exams
Question 4 Deleted for CBSE Board 2024 Exams
Question 5 Important Deleted for CBSE Board 2024 Exams
Question 6 Deleted for CBSE Board 2024 Exams
Question 7 Important Deleted for CBSE Board 2024 Exams
Question 8 Important Deleted for CBSE Board 2024 Exams
Question 9 Deleted for CBSE Board 2024 Exams
Question 10 Important Deleted for CBSE Board 2024 Exams
Question 11 Deleted for CBSE Board 2024 Exams
Question 12 Deleted for CBSE Board 2024 Exams
Question 13 Important Deleted for CBSE Board 2024 Exams
Question 14 Deleted for CBSE Board 2024 Exams
Question 15 Important Deleted for CBSE Board 2024 Exams
Question 16 Deleted for CBSE Board 2024 Exams You are here
Solving easy equations - Word Problems
Last updated at May 29, 2023 by Teachoo
Question 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 = 𝑥 Then, Total no. of participants = Number of winners + Number of participants who did not win 63 = 𝑥 + Number of participants who did not win 63 − 𝑥 = Number of participants who did not win Number of participants who did not win = 63 − 𝑥 Total amount given to the winners = Number of winners × Amount given to 1 winner = 𝑥 × 100 = 100𝑥 Total amount given to the participants who did not win = Number of participants who did not win × Amount given to 1 participant = (63 − 𝑥) × 25 = 63 × 25 − 𝑥 × 25 = 1575 − 25𝑥 Total prize money = Total amount given to winners + Total amount given to participants who did not win 3000 = 100𝑥 + 1575 − 25𝑥 100𝑥 + 1575 − 25𝑥 = 3000 75𝑥 + 1575 = 3000 75𝑥 = 3000 − 1575 75𝑥 = 1425 𝑥 = 1425/75 𝑥 = 19 Therefore, the number of winners = 19