Question

Question 12
Aruna has only Rs. 1 and Rs.2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs.75, then the number of Rs. 1 and Rs. 2 coins are, respectively
(A) 35 and 15
(B) 35 and 20
(C) 15 and 35
(D) 25 and 25​​​​​​​

Answer 1

Let number of Rs. 1 coins = x
and number of Rs. 2 coins = y
Now, by given conditions
x + y = 50
also, x $\times$ 1 + y $\times$ 2 = 775
$\Rightarrow$ x + 2y = 75
On subtracting Eq. (i) from Eq. (ii), we get
(x + 2y) – (x + y) = 75 – 50
$\Rightarrow$ y = 25
when y = 25, then x = 25