Question

b) The organisers of a dance competition decided that the winners of the competition would
get a prize money of 5000 each and the participants who did not win would get 750
each. The total prize money distributed was 1,60,000.

(0) Find the number of winners, if the total number of participants was 100

(in) Out of the total number of winners, the number of girls was three times the number
boys. Find the number of boys and the number of girls who won.​

Answer 1

Answer:

number of winner 20

number of boys 5

number of girls 15

Step-by-step explanation:

let number of winner is X

number of participants is (100-X)

now, 5000X + 75000 - 750X = 160000

4250x = 85000

X= 20

so, number of winner is 20

and number of participants is 80

now, boy is X and girls is 3x

so, boy : girl =1:3

girls is 20×3/4=15

boys is 20-15= 5