the organization of an essay competition decide that a winner

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 ..

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

Last updated at April 16, 2024 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

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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 a prize of ₹25.
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Q.16  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.

Answers (1).

Let the no. of winners be x.

Since total no. of participants is 63, thus no. of participants who does not win = 63 - x

According to the question, equation becomes:

                x(100) + (63-x)(25) = 3000

or                100x + 1575 - 25x = 3000

or                 75x + 1575 = 3000

Transposing 1575 to the RHS :

                 75x = 3000 - 1575

or              75x = 1425

Dividing both sides by 75, we get

                 x = 19

Therefore no. of winners = 19

Divya Prakash Singh

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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 a $25. The total prize money dis

The organiser of an essay competition decide that a winner in the compitition 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 nimber 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 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 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 .

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The organizer of an essay competition decides that the winner in the competition gets a prize of Rs100 and a participant who does not win gets a prize of Rs25. The total prize money distributed is Rs3000. Find the number of winners, if the total number of participants is 63.

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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. 3,000 . Find the number of winners, if the total number of participants is $ 63 . $

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 3,000.

The total number of participants $= 63$.

We have to find the number of winners.

Let the number of winners be $x$.

This implies, that the number of people who did not win $= 63 - x$

$Rs. x(100)+ Rs. (63-x)(25) = Rs. 3000$

$100x + 63(25) -25x = 3000$

$(100-25)x + 1575 = 3000$

$75x = 3000 - 1575$

$75x = 1425$

$x=\frac{1425}{75}$

$x=\frac{57}{3}$

The number of winners is 19.

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The organisers of an essay competition decide that a winner in the competition gets the prize of rupees hundred and participant who does not win gets a price 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 organisers of an essay competition decide that a winner in the competition get a prize of rupees hundred and the participant who does not win gets a price of rupees 25 the total price of money distributed is 3000 find the 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 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 total number of participants is 63., the organiser of an essay competition decide that a winner in the competition get a price of rs 100 and a participant who does not win get a price of 25 the total prize money distribute is 3000 find the number of winners , if the total number of participant is 63, you are going to participate in solo song competition in your school. write a diary entry explaining your feelings. first read the instructions given below ( use simple informal language, it should be short not in detail , mostly use past tense , informal closing ), top courses for class 8 view all.

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The organisers of an essay competition decide that a wi

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

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Right Answer is:

Given, Total number participants = 63 Total prize money distributed =  Rs 3000Winner gets a prize of Rs 100 Who does not win gets a prize of Rs 25 Number of winners = ? Let the number of winners = m Since,Number of winners + Number of losers = Total number of participants Or, m + Number of losers = 63 By transposing ‘m’ to RHS, we getNumber of losers = 63 – m Now,Total Prize money distributed to winners=  Number of winners X prize money distributed to each winner = m X 100 = 100m Total prize money distributed to losers = Number of losers X prize money distributed to each loser= (63 – m) X 25 = (63 x 25) – 25 m = 1575 – 25 m Now,Total Prize money of winners + Total Prize money of losers =  Total prize money By substituting the total prize money distributed to winners and total prize money distributed to losers, we get100 m + 1575 – 25 m = 3000 ⇒ 100 m – 25 m + 1575 = 3000 By transposing 1575 to RHS, we get100 m – 25 m = 3000 – 1575⇒75 m = 1425 After dividing both sides by 75, we get the answer. Thus, number of winners = 19 Answer Like if satisfied

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Kennedy backers say they’ve already ticked off enough boxes to qualify for the ballot in several states, including deeply significant Michigan. He might even elbow his way into the presidential debate next month. Sooner or later, there’ll be a host of physical fitness stories that juxtapose pictures of Trump on the golf course, Biden at the beach and the well-muscled R.F.K. Jr. doing push-ups. If voters decide they want a president who can welcome foreign dignitaries at the White House naked from the waist up, he’s definitely your guy.

Shanahan is not somebody you’d normally imagine as a vice-presidential pick. She wed a tech investor who filed to annul the union after 27 days. She’s denied reports that her marriage with Brin broke up after she had a fling with Elon Musk. Somebody’s going to work all that into a debate question.

The problem here is that Shanahan can use her fortune to underwrite a big presidential drive by Kennedy. Who already has a super-famous name, a good record for environmental work and a son who once dated Taylor Swift.

On the other hand, of course, he’s never held office or run a major organization, and he’s done little, if anything, to prove political prowess; his fans put his name in for nomination at the Libertarian Party convention on Sunday, and he won about 2 percent of the vote. Some of his positions — notably on abortion rights — are cloudy at best.

In recent national polls, Kennedy’s gotten around 16 percent of voter support, but there’s good reason to believe a very big chunk of that came from folks who just wanted to protest the Biden and Trump options. People, this is a bad, bad idea. Voting for an independent candidate in a presidential contest does not make you principled. It makes you a citizen who cares more about looking cool and above it all than about taking part in the real democratic process.

The two-party system helps bring the country together, and it’s going to be particularly important this year. Voters need to believe the winner actually won, and that’s tough enough when one of the candidates does not recognize any election as accurate unless he comes out on top.

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Gail Collins is a Times Opinion columnist focusing on domestic politics. @ GailCollins • Facebook