Umm plz help me do this q ❤
Answers
Answer:
The answer is 19.
Step-by-step Explanation:
Given,
Prize given to the winner = Rs 100
Prize given to the participants who did not win = Rs 25
Total prize money = Rs 3000
Total number of participants = 63
Let the number 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 × 24
= 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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