Question

In a maths quiz 30 prizes consisting 1st and 2nd prizes only are to be given, 1st and 2nd prizes are worth 2000 and 1000 respectively . If the total prize money is 52000 then:
(i) if the 1st prizes are 'x' in number of 2nd prizes are ---------------------
(II) The total value of prize money in terms of 'x' are ---------------------
(iii) Frame the equation and find the number of 1st prizes and number of 2nd prizes.

Answer 1

Hello friend

Total number of prizes are 30

1st prizes are x in number then 2nd prizes will be 30-x in number
__________________________________________________

Total value of prize Money is 52000

We get 52000 but adding the value of 1st prize + value of 2nd prize

Value of 1st prize is 2000x

Value of 2nd prize is 1000(30-x)=30000-1000x

2000x+30000-1000x=52000

1000x+30000=52000

1000x=52000-30000

1000x=22000

x=22

No of first prizes is x=22

No of second prizes is 30-x=30-22=8

Answer 2

Answer:

Solution

Step-by-step explanation:

Total number of prizes are 30

1st prizes are x in number then 2nd prizes will be 30-x in number

__________________________________________________

Total value of prize Money is 52000

We get 52000 but adding the value of 1st prize + value of 2nd prize

Value of 1st prize is 2000x

Value of 2nd prize is 1000(30-x)=30000-1000x

2000x+30000-1000x=52000

1000x+30000=52000

1000x=52000-30000

1000x=22000

x=22

No of first prizes is x=22

No of second prizes is 30-x=30-22=8