The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25. The total prize money distributed is ₹3,000. Find the number of winners, if the total number of participants is 63
Solution:
Let's use the given conditions in the question to form a linear equation.
Let the number of winners(W) = x
Then the number of participants who do not win(L) = 63 - x
Total prize money = ₹3000
[W × 100] + [L × 25] = 3000
100x + (63 - x)25 = 3000
100x + 1575 - 25x = 3000
75x + 1575 = 3000
75x = 3000 - 1575
x = 1425/75
x = 19
Therefore, the number of winners of the essay competition is 19.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 2
Video Solution:
The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25. The total prize money distributed is ₹3,000. Find the number of winners, if the total number of participants is 63
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 16
Summary:
The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25. The total prize money distributed is ₹3,000. The number of winners is 19, if the total number of participants is 63.
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