A  sum of rs 4750 is in 50 and 100 rupee notes. If there are60 notes  in all, how many- a)50 rupee notes are there  b)100rupee notes are there

let 50rupee note be x so  there amount is Rs 50x

let 100rupee note be c  amount is Rs100c

4750= 50x + 100c

x + c =6o

so c=35 x=25

DRAW THE FIG LIKE THIS- in tringle ABC, let angle A be the vertical angle and angle B and C be the base angles.

GIVEN: Triangle ABC

TO PROVE:ANGLE A+ANGLE B+ANGLE C=180

CONSTRUCTION:Through A,draw DA parallel to BC

then, angle DAB= angle ABC(ALTERNATE INTERIOR ANGLES)----------(1)

angle EAC= angle ACB( ALTERNATE INTERIOR ANGLES)-----------------(2)

Now,

angle DAB+ angle EAC+ANGLE BAC=180(THE SUM OF THE ANGLES ON A STRAIGHT LINE IS 180)

=ANGLE ABC+ANGLE ACB+ANGLE BAC=180(FROM EQUATION 1 2 ,ANGLE DAB=ANGLE ABC ANGLE EAC=ANGLE ACB)

HENCE, IN TRINGLE ABC, ANGLE A +ANGLE B +ANGLE C=180

HENCE PROVED.

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let 50rupee note be x so  there amount is Rs 50x

let 100rupee note be c  amount is Rs100c

4750= 50x + 100c

x + c =6o

so c=35 x=25 .....

let  x  be  no. of 50 rs. notes  &  y be no. of 100 rs. notes.

4750 =  50 x + 100 y

 x + y = 60

solving  2 equations we get  y = 35  & x = 25.