The organisers of an essay competition decide that a winner in the competitions gets a prize of rupees 100 and a participant who does not win get a price of rupees 25 .the total prize money distributed is 3000. find the number of winners ,if the total number of participants is 63.
Answers
Answer:
Let the no. of winners be 'x'
Let the no. of participants who did not win be 'y'
The, acc. to ques.
'x' +'y'=63 →equation(1)
And 100(x)+25(y)=3000 →equation(2)
Multiplying eq1 by 100,we get
100x+100y=6300 →equation(3)
Now subtracting eq 2 from eq 3,we get
75y=3300
y=44
∴x+44=63
x=19
Step-by-step explanation:
Answer:
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Winner get a prize = Rs 100
Non - winner get a prize = Rs 25
Total prize = Rs 3000
Total no.of participants = 63
Let the no.of winner be a
Let the no.of non-winners be (63 - a)
amount given to the winners = Rs (100 * a)
= Rs 100a
amount given to the non - winners = Rs 25(63 - a)
= Rs 1575 - 25a
A.T.Q( according to this question)
100a + 1575 - 25a = 3000
75a +1575 = 3000
75a = 3000 - 1575
75a = 1425
a = 1425/75
a = 19
No . of winners = 19
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