Question

Question 23

Fill in the blanks to make the statement true.
In a bag, there are Rs.5 and Rs.2 coins. If they are equal in number and their worth is Rs. 70, then

(a) The worth of x coins of Rs. 5 each ............
(b) The worth of x coins of Rs. 2 each ............
(c) The equation formed is ............
(d) There are ............ Rs. 5 coins and ............ Rs. 2 coins.

Answer 1

Let the number of coins of Rs. 5 = x
Then, number of coins of Rs. 2 = x

(a) Number of coins of Rs. 5 = x
So, the worth x coins of Rs.5 = Rs.$5\times x=Rs.5x$

(b) Similarly, the worth of Rs. 2 of x coins = Rs. 2x

(c) It is given that, combined value/worth of Rs. 5 and Rs. 2 coins is Rs. 70.
So, the equation formed is
Worth of Rs. 5 coins + Worth of Rs. 2 coins = Rs. 70
$\Rightarrow 5x+2x=70$

(d) Solve the equation of x,
5x + 2x = 70
$\Rightarrow 7x=70\Rightarrow x=10$
Hence, there are 10, Rs. 5 coins and 10, Rs. 2 coins.