Question

A purse contains some 25p coins and some 50p coins. The total amount in the purse is Rs 25. If the no of 50 paise coins is double the no of 25 p coins, how many of each coins is there in the purse?

Answer 1

let the number of 25paise coins be 'x' and that of 50 paise coins be 'y'.
25paise= 1/4 rupee &50 paise = 1/2rupee.
By given data,
1/4 (x)+ 1/2 (y) =25 ------------------(1)
       &
y=2x ---------------------------------(2)

on substituting (2) in (1),

1/4 (x) + 1/2 (2x) =25

1/4 (x) +x =25
 
5x/4 =25

5x =100

x=20.

But y=2x
    
y= 2(20)

y=40.

The no. of 25 paise coins is 20 and the no. of 50 paise coins is 40.

Answer 2

1/4 (x) + 1/2 (2x) =25 Yes the answer procedure.. 1/4 (x) +x =25 5x/4 =25 5x =100 x=20. But y=2x y= 2(20) y=40....so the answer is this.