The organisers of an essay competition decide that a winner in the com...
Total money =3000Total participants=63Let no of winners be XLet no of loosers be =63-xA.T.Q100+X+25*(63-X)=3000Solve it Then ans will be X=19 That means no of winner is 19PLEASE UP VOTE ME AND BE MY FOLLOWER IF HELPED
The organisers of an essay competition decide that a winner in the com...
Problem: Find the number of winners in an essay competition if the total prize money distributed is rupees 3000 and the winner gets a prize of rupees hundred and the participant who does not win gets a price of rupees 25. The total number of participants is 63.
Solution:
To solve the problem, we need to use the following steps:
Step 1: Let's assume that the number of winners in the competition is 'x' and the number of participants who did not win is 'y'.
Therefore, we have:
x + y = 63 ----(1) (Total number of participants)
Step 2: The prize money distributed is rupees 3000. Since the winner gets a prize of rupees hundred and the participant who does not win gets a price of rupees 25, we can write:
100x + 25y = 3000 ----(2) (Total prize money distributed)
Step 3: Now, we need to solve the equations (1) and (2) to find the values of 'x' and 'y'. Let's multiply equation (1) by 25 and subtract it from equation (2):
100x + 25y = 3000
-25x - 25y = -1575
--------------------
75x = 1425
Step 4: Solving for 'x', we get:
x = 19
Therefore, the number of winners in the essay competition is 19. To find the number of participants who did not win, we can substitute the value of 'x' in equation (1):
x + y = 63
19 + y = 63
y = 44
Therefore, the number of participants who did not win is 44.
Conclusion: The number of winners in the essay competition is 19 and the number of participants who did not win is 44.
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