Betty saves 3 times as much as Ann. Charles save 390 less than Ann.. If Betty saves save 1330 more than Charles. how much does Charles save?

Respuesta :

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]

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