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Question 16 The or g an i zers of an e s s a y comp e t i tion decide that a winn e r i n t he c o m p e t i t ion gets a p r i z e of ₹ 1 0 0 a n d a pa rtici p a n t who d o es n ot win, gets a p rize of ₹ 2 5 . The to t a l p rize mon e y distribu t e d is ₹ 3, 000 . F i nd the number of winners, if the total number of participants is 6 3 .

Total sum of m oney = ₹ 300 0 l e t the number of w in n ers of ₹ 100 be x . total participants =63 therefore no. of participant who does not win = 63-x according to the question, 100 × x + 25 × ( 63 − x ) = 3000 ⇒ 100 x + 1575 − 25 x = 3000 ⇒ 75 x + 1575 = 3000 ⇒ 75 x + 1575 − 1575 = 3000 − 1575 [subtracting 1575 from both sides] ⇒ 75 x = 1425 ⇒ 75 x 75 = 1425 75 [dividing both sides by 75] x = 19 h e nce the n u m b e r of w inn e r is 1 9 ..

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The organizers of an essay competition decide that a winner in the competition gets a prize of rupees 100 and a participant who does not win gets a prize of rupees 25. The total prize money distributed is rupees 3000. Find the number of winners, if the total number of participants is 63 ?

The organizers of essay competition decides the winner in the competition get a prize of rupees hundred and a participant who does not win get a prize of rupees 25 the total prize money distributed is 3000 rupees find the number of winners if the total participants is 63

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Solving easy equations - Word Problems

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Question 16 - Solving easy equations - Word Problems - Chapter 2 Class 8 Linear Equations in One Variable

Last updated at April 2, 2024 by Teachoo

Ex 2.2, 16 - The organisers of an essay competition decide that winner

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

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The organisers of an essay competition decide that a winner in thecompetition gets a prize of Rs 100 and 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.

the organisation of an essay competition decide that a winner

let total number of winners be x According to question 100*x+25(63-x)=3000 100x-25x+1575=3000 75x=1425 x=19 total number of winners are 19

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"The organisers of an essay competition decide that a winner gets a prize of Rs. 100 and 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." Apart from checking the mathematical concept, what values can a teacher inculcate tlırough this question amongst students, during the discussions?

"The organisers of an essay competition decide that a winner gets a prize of Rs. 100 and a participant who does not win gets a prize of Rs. 25. The total prize money distributed is Rs. 3000. Find the number of winners, if the total number of participants is 63." Apart from checking the mathematical concept what values can a teacher inculcate through this question amongst students, during the discussions?

"The organisers of an essay competition decide that a winner gets a prize of Rs.100 and a participant who does not win gets a prize of Rs.25. The total prize money distributed is Rs.3000. Find the number of winners, if the total number of participants is 63." Apart from checking the mathematical concept what values can a teacher inculcate through this question amongst students, during the discussions?

The organisers of an essay completion decide that a winner gets a prize of Rs. 100 and a participant who does not win gets a prize of Rs. 25. The total prize money discributed is Rs. 3,000. Find the number of winners. If the total number of participants is 63." Aprt from cheking the mathematical concept, what value can a teacher inculate through this question amongst students, during the discussions?

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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 number of winners, if the total number of participants is 63

The organisers of an essay competition decide that a winner in the competition gets prize of Rs 100 and the participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners if the total number of participants is 63

The organizers 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 .

The organizers 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 ’ ₹ 3000 ‘. Find the number of winners, if the total number of participants is ’ 63 '.

the organisation of an essay competition decide that a winner

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  1. The organizers of an essay competition decide that a winner ...

    The organisers of an essay competition decide that a winner in the competition gets a prize of Rs. 100 and a participant who does not win gets a prize of Rs. 25. The total prize money distributed is Rs. 3000. Find the number of winners, if the total number of participants is 63.

  2. Question 16 - The organisers of an essay competition decide ...

    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

  3. The organizers of an essay competition decide that a winner ...

    The organisers of an essay competition decide that a winner in thecompetition gets a prize of Rs 100 and a participant who does not win gets a prize o asked Jul 23, 2020 in Linear Equations by Chiranjeev ( 98.5k points)

  4. The organisers of an essay competition decide that a winner ...

    The organizers 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.

  5. The organisers of an essay competition decide that winner of ...

    The organisers of an essay competition decide that a winner in the competition gets a prize of Rs. 1 0 0 and a participant who does not win gets a prize of Rs. 2 5. The total prize money distributed is Rs. 3 0 0 0. Find the number of winners, if the total number of participants is 6 3.

  6. 16. The organisers of an essay competition decide that a ...

    The organizers of an essay competition decide that winner of the competition gets a prize of ₹ 100 and a participant who does not win gets ₹ 25 for his participation. The total prize money distributed is ₹ 3000. Find the number of winners, if the total number of participants is 63.

  7. The organisers of an essay competition decide that a winner ...

    The organisers of an essay competition decide that a winner in thecompetition gets a prize of Rs 100 and 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.

  8. The Truth About Writing Contests - Writer's Digest

    But if it's a publishing house sponsoring the competition, salability matters most. They're looking for commercial viability, quality of research and presentation, and media potential. Julie Weary, the grand-prize winner of the Writer's Digest Annual Writing Competition in 1997, now judges competitions and also continues to enter them. She says ...

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  10. The organizers of an essay competition decide that our winner.

    3. The essay with the highest score would be declared the winner of the competition. Step 4/5 4. The organizers would then notify the winner and possibly arrange for a prize or award ceremony. Step 5/5 5. The winning essay may also be published or shared with a wider audience, depending on the rules of the competition.