Answer:
80
Step-by-step explanation:
We let x be Ann's savings.
Betty saves 3 times as much as Ann.
This implies that Betty's savings in terms of x
[tex] = 3x[/tex]
Charles save 390 less than Ann.
This implies Charles savings
[tex] = x - 390[/tex]
Betty saves 1330 more than Charles.
This implies that when we deduct Charles savings from Betty's we have to get 1330.
Mathematical equation for the problem:
[tex]3x - (x - 390) = 1330[/tex]
Expand :
[tex] \implies 3x - x + 390= 1330[/tex]
[tex]\implies 2x + 390= 1330[/tex]
Subtract 390 from both sides.
[tex]\implies 2x + 390 - 390= 1330 - 390[/tex]
[tex]\implies 2x=940[/tex]
Divide through by 2
[tex]\implies \frac{2x}{2} = \frac{940}{2} [/tex]
[tex]\implies x=470[/tex]
Hence Charles saving is
[tex]x - 390 = 470 - 390 = 80[/tex]