In a writing competition, it is decided that a winner will get a prize of Rs 500 and a
participant who does not win will get a prize of Rs 100. The total prize money distributed
is Rs 10,000. Find the number of winners, if the total number of participants is 36.
Pls answer according to "linear equations with one variable"
Answers
Given:
In a writing competition, it is decided that a winner will get a prize of Rs. 500 and a participant who does not win will get a prize of Rs. 100. The total prize money distributed is RS. 10,000.
Solution:
Let x be the number of winners.
So that, the number of participants who do not win is given as 36 - x.
The prize money given to x winners = Rs. 500x
The prize money given to 36 - x participants = Rs. 100(36 - x)
According to the question,
The total prize money distributed = Rs. 10,000
It's linear equation would be,
500x + 100(36 - x) = 10,000
or, 500x + 3,600 - 100x) = 10,000
or, 400x = 10,000 - 3,600
or, 400x = 6,400
or, x = 6,400/400
or, x = 16
Answer:
Therefore, the number of winners is 16.
Answer:
Let x be the number of the winners. So, the number of participants who does not win (63−x).
Prize money given to x winners = Rs. (100×x)= Rs. 100x
and prize money given to (63−x) participants = Rs. 25(63−x)
Given, total prize money distributed = Rs. 3000
∴100x+25(63−x)=3000
⇒4x+(63−x)=120 ...[On dividing both sides by 25]
⇒3x+63=120
⇒3x=120−63 ...[Transposing 63 to RHS]
⇒3x-57⇒x= 57 = 19
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∴ The number of winners is 19.
Step-by-step explanation:
THIS IS THE RIGHT ANSWER