Question

Meena went to 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? Hint - Number of Rs. 50 notes Number of Rs. 100 notes Total According to question notes x y 25 x+ y=25 amount 50x 100y 2000 50x+100y=2000

Answer 1

Answer:

Number of Rs. 50 notes = 10

Number of Rs. 100 notes = 15

Answer 2

$\huge \sf Answer :$

Rs 50 notes = 10 and Rs 100 notes = 15

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

$\huge \sf Solution :$

Let total Rs 50 notes = x

and total Rs 100 notes = y

∴ Total notes = x + y

But we are given total notes = 25

$\sf \implies x+y = 25 \: \: - ①$

Now, Meena has total money =50x + 100y

But we are given total money =Rs 2000

$\sf \implies 50x+100y=2000$

$\sf \implies 50(x+2y)=2000$

$\sf \implies x+2y = \dfrac{2000}{50}$

$\sf \implies x+2y = \dfrac{\cancel{2000}^{40}}{\cancel{50}}$

$\sf \implies x+2y = 40 \: \: - ②$

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

On substraction of ① and ②,

(x+y) - (x+2y) = 25 - 40

x + y - x - 2y = - 15

- y = - 15

$\boxed{\sf y = 15}$ ⠀

Now, by putting y in ①,

x+y=25

x + 15 = 25

x = 25 - 15

$\boxed{\sf x=10}$

∴ Rs 50 notes, x = 10

and Rs 100 notes, y = 15