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

80

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 (2x)/(2) = (940)/(2)`

`\implies x=470`

Hence Charles saving is

`x - 390 = 470 - 390 = 80`