In a Mathematics quiz, 30 prizes consisting of 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 ₹ 52,000 then show that:
(a) If 1st prizes are x in number the number of 2nd prizes are .
(b) The total value of prizes in terms of x are ____________.
(c) The equation formed is _______________________.
(d) The solution of the equation is _______________.
(e) The number of 1st prizes are ___________ and the number of 2nd prizes are _____________.