Question

meena went to a bank to with draw rs.2000. she asked the cashier to give her rs 50 and rs 100 notes only. meena got only 25 notes in all . find how many notes of rs 50 and rs 100 she received
​

Answer 1

Step-by-step explanation:

x+y=25; 50x+100y=2000

on simplify

x+2y=40

subract

eqn1and2

-y=-15so y = 15

substitute this value in eqn 1 and x is 10

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