Question

70 coins of 10 paise and 50 paise are mixed in a purse. If the total value of the money in the purse is Rs.90. Find the number of each type of coin.

Answer 1

let x= coin of 10 paise
and y= coin of 50 paise
total coin=70
i.e    x+y = 70 --------(1)

total money inside the bag = 90rs or 900 paise
i.e 10x+50y=900
or 1x + 5y= 90-----------(2)

sub eqn (2) frm eqn(1)

   x +  y = 70
 1x + 5y = 90
-     -        - 
---------------------------
      -4y = -20           i.e y= 5
                                   x=70-5=65

5 coins of 50 paise and 65 coins of 10 paise

5*50+65*10 = 250+650  =  900 paise or 90 rs