Fill in the blanks to make the statements true.

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 ________.

Fill in the blanks to make the statements true.

The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

(a) If the breadth of rectangle is x cm, the length of the rectangle is ________.

(b) Perimeter in terms of x is ________.

(c) The equation formed is ________.

(d) The solution of the equation is ________.

Fill in the blanks to make the statements true.

In a bag there are 5 and 2–rupee coins. If they are equal in number and their worth is ₹ 70, then

(a) The worth of x coins of ₹ 5 each ________.

(b) The worth of x coins of ₹ 2 each ________.

(c) The equation formed is ________.

(d) There are ________5–rupee coins and ________ 2–rupee coins.

Fill in the blanks to make the statements true.

If z + 3 = 5, then z = ________.

Fill in the blanks to make the statements true.

________is the solution of the equation 3x – 2 = 7.