Meena went to a bank to withdraw Rs. 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all. Find how many notes of Rs. 50 and Rs. 100 she received.

Given:

Meena went to a bank to withdraw Rs. 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all.

To do:

We have to find the number of notes of Rs. 50 and Rs. 100 she received.

Solution:

Let the number of Rs. 50 notes be $x$ and the number of Rs. 100 notes be $y$.

The total number of notes $= 25$

This implies,

$x + y = 25$

$x = 25-y$....(i)

Total amount only in Rs. 50 notes $= 50x$

Total amount only in Rs. 100 notes $=100y$

Total amount $=Rs.\ 2000$

$50x + 100y = 2000$

$50(25-y) + 100y = 2000$ (From (i))

$50\times25 - 50y + 100y = 2000$

$1250 +50 y = 2000$

$50y = 2000-1250 = 750$

$y = \frac{750}{50} = 15$

$ x = 25-15 = 10$ (From (i))

Therefore, she received $10$ Rs. 50 notes and $15$ Rs. 100 notes.

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