Answer:
money saved by james = 30/2 = 15
equation used
money with James = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
Step-by-step explanation:
Let money saved by sister be x
given
James has saved half the amount of money as his sister has saved.
Money saved by James = x/2
Total money saved by both of them = x + x/2
If they both save 30 more
Then
money with sister = x + 30
money with james = x/2 + 30
given that If they both save 30 more, james will have saved 3/4 as much as her sister
thus,
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
Thus,
money saved by james = 30/2 = 15
equation used
money with james = 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )