Question

A lady has only 25-paisa and 50-paisa coins in her purse.if she has 50 coins in all totalling ₹19.50 ,how many coins of each kind does she have?

Answer 1

Answer:

Let x be the number of 25 paisa coins

and y be the number of 50 paisa coins.

Then, x+y = 50

x=50-y --------eq(1)

And 25x+ 50y = Rs19.50

25x+50y=1950 paisa

25(50-y)+50y=1950 -------from eq(1)

1250-25y+50y=1950

25y=1950-1250

25y=700

y=700/25

y=28

Now, putting y=28 in eq(1),

x=50-28

x=22

Thus, the lady has twenty two 25 paisa coins and twenty eight 50 paisa coins.