Question

Neeraja has only 1 Rupee and 2 rupee coins with her. if the total number of coins that she has 50 and the amount of money with her 75 Rupees then the number of 1 Rupee and 2 rupee points are respectively

Answer 1

Let the total number of coins worth 1 rupee = x.

Let the total number of coins worth 2 rupees = y = >2y.

Given that total number of coins, she has = 50. 

x + y  = 50

x =  50 - y   ----------- (1)

Given that Amount of money with her = 75.

x + 2y = 75

50 - y + 2y = 75

50 - y = 75

y = 25

Substitute  y = 25 in (1), we get

x = 50 - 25

x = 25.


Therefore she has 25 one-rupee coins and 25 two-rupee coins.


Hope this helps!

Answer 2

Let the number of one rupee coin is equal to x so it's value remains x
Then the no of 2 rupee coin becomes
50-x and so value becomes 2(50-x) or 100-2x
Then according to question ,
x+100-2x=75
=-x=75-100
=-x=-25
Or x=25
Then no of 1 ₹coins =25
And no of 2 ₹ coins =50-25=
=25