james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved. If they both save 30 more, james will have saved 3/4 as much as her sister. What equation could you use to find how much james has saved

Respuesta :

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 )