Question

79
NS IN TWO VARIABLES
14) Meena went to a bank to withdraw
* 2000. She asked the cashier to give
her 50 and 100 notes only. Meena
got 25 notes in all. Find how many
notes of 50 and 100 she received.​

Answer 1

Answer:

10 and 15 respectively...

Step-by-step explanation:

let the 50 notes be x and 100 notes be y

total notes=x+y=25.....1

total money=50x+100y=2000

on simplification we get,

x+2y=40.....2

on subtraction 1 and 2

y=15 and x=10

therefore no. of 50 notes are 10 and no. of 100 notes are 15.

Answer 2

$\huge \bf \underline \red{Answer}$

$\bf \huge \underline \blue{x = 10}$

____________________________________

$\sf \underline \blue{Question}$

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

notes of 50 and 100 she received.

$\rm \ \red{step \: by \: step \: explanation}$

• let the number of 50 notes will be x

• let the number of 100 notes be y

____________________________________

$\sf \underline{given \: total \: notes \: is \: 25}$

$\sf \underline{then}$

$\sf \underline \red{x + y = 25}$

$\sf \underline \red{x = 25 - y}$

_____________________________________

• 50 notes = 50x

• 100 notes = 100y

• total amount is 2000

____________________________________

$\tt \underline \pink{prblm \: solve \: }$

$\tt \red{⟹ \: 50x + 100y = 2000}$

$\tt \blue{⟹ \: 50(25 - y) + 100y = 2000}$

$\tt \green{⟹50 \times 25 - 50y + 100y = 2000}$

$\tt \pink{⟹ \: 1250 + 50y = 2000}$

$\tt \purple{⟹ \: 50y = 2000 - 1250 = 750}$

$\tt \orange{⟹ \: y = \frac{750}{50} = 15}$

$\tt \red{⟹ \: x = 25 - 15}$

$\tt \blue{⟹ \: x = 10}$