Question

A lady went to a bank with 100000.she asked the cashier to give Rs500 and Rs 1000 currency notes in return she got 175 currency notes in all. Find the number of each kind of currency notes

Answer 1

Answer:

Set up two equations

x + y = 175........(1)

500x + 1000y = 100,000......(2)

Multiply Equation (1) by 500

500x + 500y = 87,500.......(1)

500x + 1000y = 100,000......(2)

Subtract Equation (1) from (2)

......500y = 12,500

 

.........y = 25

Substitute y = 25 in Equation (1)

x + y = 175........(1)

x + 25 = 175

x = 175 - 25

x = 150

The lady was given:-

150 x Rs500 notes

25 x Rs1000 notes

Step-by-step explanation:

Answer 2

Answer:

The answer is 25 notes of RS.1000 and 150 notes of RS.500

Step-by-step explanation:

Let the number of RS.1000 notes be 'x'

and the number of RS.500 notes be 'y'

Therefore Case 1 :

1000x + 500y = 100000. (1)

Case 2 :

x + y = 175

Multiply both sides by 500

we get

500x + 500y = 87500. (2)

Now substract Equation (2) from Equation (1)

1000x + 500y = 100000

-500x - 500y. = -87500

____________________

500x = 12500

x. =. 12500/500

x. =. 25

Therefore substitute the value of x in Equation (1)

We get

1000(25) + 500y = 100000

25000. +. 500y. = 100000

500y = 75000

y. = 150

Therefore we get the answer as

x = 25 and y = 150

Therefore the number of RS.1000 notes = 25

and the number of Rs.500 notes = 150

I HOPE IT WILL HELP YOU.