please answer this question fast 50 pts.....
Question 17...
Answers
Answer:
Given, Total number participants = 63
Total prize money distributed = Rs 3000
Winner gets a prize of Rs 100
Loser 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 get
Number of losers =63–m
Now, Total Prize money distributed to winners
= Number of winners X prize money distributed to each winner =m×100=100m
Total prize money distributed to losers
= Number of losers X prize money distributed to each loser
=(63–m)×25=(63×25)–25m=1575–25m
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 get
100m+1575–25m=3000
⇒100m–25m+1575=3000
By transposing 1575 to RHS, we get
100m–25m=3000–1575
⇒75m=1425
After dividing both sides by 75, we get
75m75=142575
Or, m=19
Thus, number of winners = 19 Answer
Step-by-step explanation:
Refer to the attachment