Question

In a school, 45 students participated in a competition. All the winners got 300 rupees. Also, each participate who did not win get a participation prize of 50 rupees. If the organizers gave 5000 rupees as prizes, find how many students got participation prize and how many were winners

Answer 1

Answer:

Let 'a' be the students who were the winners and 'b' be the students who didn't win.

= > Total students = 45

= > winners + those who didn't win = 45

= > a + b = 45

= > b = 45 - a ----(1)

'a' students got 300 each and 'b' students got 50 each.

= > 300a + 50b = total money

= > 300a + 50( 45 - a ) = 5000

= > 300a + 2250 - 50a = 5000

= > 250a = 2750

= > a = 11

Hence the students who got participation part = 45 - 11 = 34

students who won = 11

Answer 2

Step-by-step explanation:

Hope it help you

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