Question

In a writing competition, it is decided that a winner will get a prize of Rs 500 and a
participant who does not win will get a prize of Rs 100. The total prize money distributed
is Rs 10,000. Find the number of winners, if the total number of participants is 36.

Answer 1

Answer:

Given :

In a writing competition, it is decided that a winner will get a prize of 500 and a participant who does not win will get a prize of 100. The total prize money distributed is 10,000.

To find :

Find the number of winners, if the total number of participants is 36.

Solution :

Conditions

★ Winner will get a prize of Rs.500

★ Participant who does not win will get prize of Rs.100

Now,

Total prize money distributed = Rs10000

Total number of participant = 36

Consider the number of winner be x and the number of participants who did not win be y

According to the question

Winners+participant who didn't win = 36

x + y = 36 ----(i)

Winners × Rs.500 + participants who did not win × Rs.100 = Rs.10000

500x + 100y = 10,000

→ 100(5x + y) = 10000

→ 5x + y = 10000/100

→ 5x + y = 100 ---(ii)

Subtract both the equations

→ x + y - (5x + y) = 36 - 100

→ x + y - 5x - y = - 64

→ x - 5x = - 64

→ - 4x = - 64

→ x = 64/4

→ x = 16

Put the value of x in eqⁿ 1

→ x + y = 36

→ 16 + y = 36

→ y = 36 - 16

→ y = 20

•°• Number of winners = x = 16

•°• Number of who did not win = y = 20

Answer 2

Answer:

I think 3600

Step-by-step explanation:

for each person 100

and for 36 person is 3600