Question

Amrutha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹ 1 and ₹2 coins are, respectively *​

Answer 1

Answer:

Let number of ₹ 1 coins = x

and number of ₹ 2 coins = y

Now, by given conditions x+y=50 …(i)

Also, x×1+y×2=75

⇒ x + 2y = 75 …(ii)

On subtracting Eq. (i) from Eq. (ii), we get

(x + 2y) – (x + y) = 75 – 50

⇒ y = 25

When y = 25, then x = 25

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Answer 2

Let us take,

Re.1 coins as x

Rs. 2 coins as y

The total number or Re.1 and Rs.2 are 50

So x+y=50_______________________________(1)

Therefore, the total amount of Re.1 is 1x

Therefore, the total amount of Rs.2 is 2y

Total money is 75

Hence the sum of Total Re.1 amount + Total Rs.2 amount = 75

This is 1x+2y=75  ______________________________(2)

Equating Eqn. 1 and 2

x=50-y

Putting x in 1x+2y=75  

1(50-y)+2y=75  

y=25

Putting y in  x=50-y

We get x = 50 – 25 = 25  

Therefore, the number of Re.1 coin is 25 and Rs.2 coin is 25