Answer:
The amount of money Russel gets is $80
The amount of money Sara gets is $200
The amount of money Terry gets is $320
Step-by-step explanation:
Let
x -----> amount of money Russel gets
y -----> amount of money Sara gets
z -----> amount of money Terry gets
we know that
x/y=2/5 -----> x=(2/5)y ----> equation A
x/z=2/8 ----> x=(2/8)z ----> equation B
y/z=5/8 ----> y=(5/8)z ---> equation C
z=y+120 ----> equation D
Substitute equation D in equation C and solve for y
[tex]y=(5/8)(y+120)[/tex]
Multiply by 8 both sides to remove the fraction
[tex]8y=5(y+120)\\8y=5y+600\\3y=600\\y=\$200[/tex]
Find the value of z
[tex]z=200+120=\$320[/tex]
Find the value of x
[tex]x=(2/5)y\\x=(2/5)(200)=\$80[/tex]
therefore
The amount of money Russel gets is $80
The amount of money Sara gets is $200
The amount of money Terry gets is $320
