Question

a lady has only 25p and 50p coins in her purse if in all she has 40 coins totalling RS12.50 find the number of coins of each type in her purse

Answer 1

Let the no. Of 25p coins be x and 50p coins 40-x
Value of 25p coins = 25x
Value of 50p coins = 50(40-x)
=2000-50x
Now,
According to question
25x + 2000-50x = 12.50 * 100
-30x =1250-2000
-30x= -750
30x=750
X = 750/30
X= 25

Now no. Of 25p coins= 25
No. Of 50p coins= 40-25
= 15

Answer 2

Answer:

There are 25 coins of 25 p and 15 coins of 50 p.

Step-by-step explanation:

Let the no. of 25p coins be x

Now we are given that there are 40 coins in total.

So, no. of  50p coins 40-x

Value of 25p coins = 25x

Value of 50p coins = 50(40-x) =2000-50x

Now,we are given that she has 40 coins totaling Rs.12.50

According to question

$25x + 2000-50x = 12.50 \times 100$

$-30x =1250-2000$

$-30x= -750$

$30x=750$

$x = \frac{750}{30}$

x= 25

Now no. of 25p coins= 25

No. of 50p coins= 40-25= 15

Thus there are 25 coins of 25 p and 15 coins of 50 p.