Question

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?

Answer 1

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

$= 3x$

Charles save 390 less than Ann.

This implies Charles savings

$= x - 390$

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:

$3x - (x - 390) = 1330$

Expand :

$\implies 3x - x + 390= 1330$

$\implies 2x + 390= 1330$

Subtract 390 from both sides.

$\implies 2x + 390 - 390= 1330 - 390$

$\implies 2x=940$

Divide through by 2

$\implies \frac{2x}{2} = \frac{940}{2}$

$\implies x=470$

Hence Charles saving is

$x - 390 = 470 - 390 = 80$