Question

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 325. The total prize money distributed is 3,000. Find the
number of winners, if the total number of participants is 63....
need ur help..plz solve it as fast as u can​

Answer 1

Answer:

19

Step-by-step explanation:

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 = 3000By 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

Answer 2

Answer:

Step-by-step explanation:

Let us take the number of winner be x

Total number of participants=63

Non-winner participants =63-x

Prize given to winners=100

Prize given to non - winners=25

According to question,

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

100x+1575-25x=3000

75x=3000-1575

75x=1425

x=1425/75

x= 19