Question

To find number of notes that Anushka had, complete the following activity.suppose thatAnushka had x notes of rs. 10 and y notes of rs. 50 each. Anushka got 2500 from Anand as denominations mentioned above. If Anand would have given her the amount by interchanging number of notes, Anushka would have received rs. 500 less than the previous amount

Answer 1

HELLO DEAR,


GIVEN THAT:-

x notes of 10 Rs.
            y notes of 50 Rs.
             AND the sum is 2500 Rs.


NOW,


10x + 50y = 2500 -------------(1)
 50x + 10y = 2000 ------------(2)

adding-----(1) & ------(2)

we get,

50x + 10y = 2000
10x + 50y = 2500
--------------------------
60x + 60y = 4500

2X + 2y = 150---------(3)

subtracting-----(1) & -----(2)

50x + 10y = 2000
10x + 50y = 2500
(-)____(-)____(-)
---------------------------
40x - 40y = -500

2X - 2y = - 25----------(4)

From-----(1) & -----(2)

2x + 2y = 150
2x - 2y = -25
-------------------
4x = 125

X = 125/4

X = 30.9 put in -----(3)

We get,

2(30.9) + 2y = 150

2y = 150 - 62.5

2y = 87.5

Y = 87.5/2

Y = 43.75



I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

heya...!!!




x notes of 10 Rs.

y notes of 50 Rs.

AND the sum is 2500 Rs.



NOW,



10x + 50y = 2500 -------------( 1 )
50x + 10y = 2000 ------------( 2 )



from--------(1) & ------(2)
multiply by 5*--(1)



we get,



50x + 10y = 2000
50x + 250y = 12500
(-)_____(-)____(-)
--------------------------
-240y = - 10500


=> 24y = 1050

=> y = 1050/24

=> y = 43.75 [ put in ---( 1 ) ]



10x + 50(43.75) = 2500


10x = 2500 - 2187.5


x = 312.5/10


x = 31.2



I HOPE ITS HELP YOU