Question

70 coins of 10 paise and 50 paise are mixed. if the total value of the money is Rs. 19. find the number of each type of coin

Answer 1

Let the no. of 10 paise coins be x and the no. of 50 paise  coins be y,
According to question, total no. of coins = 70
or, x + y = 70
or, x = 70-y ............ (i)

Now total value of money is Rs. 19 (1900 paise)
or, 10x + 50y = 1900
or, 10(70-y) + 50y = 1900                  [Putting the value of x from eqn (i)]
or, 700 - 10y + 50y = 1900
or, 40y = 1200
or, y = 30 
Therefore, there are 30 fifty paisa coins.

And, x = 70-y 
or, x = 70-30 = 40
Hence, there are 40 ten paisa coins.

Hope that helps !!

Answer 2

Step-by-step explanation:

let the number of 10 paise coins be x

then 50p coins=70-x

1 ruppee=100paise

19 ruppee=1900 paise

according to question

10(x)+50(70-x)=1900

10x+3500-50x=1900

-40x=1900-3500

-40x=-1600

1600=40x

1600/40=x

40=x

so,10p coins=40

50p coins=70-40=30