Question

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.

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

(ii) Out of the total number of winners, the number of girls was three times the number of

boys. Find the number of boys and the number of girls who won​

Answer 1

Step-by-step explanation:

Let x be the number of winners.

Then the number of participants who do not win is given as (63 – x)

The prize money given to x winners = Rs ( 100x)

The prize money given to (63 – x) participants is = Rs 25(63 – x)

According to the given data, the total prize money distributed = Rs 3000

Therefore, 100x + 25(63 – x) = 3000

4x + (63 – x) = 120

3x + 63 = 120

x = 19

Therefore, the number of winners is 19.p explanation:

2.4BOYS 15 GIRLS