Suggestions on solving this ?Quote:

The salaries of Kate and John are in a ratio 2:3 . If the salary of each is increase by $4000 the new ratio becomes 40:57 .What is Johns salary ?Ans $38,000

Printable View

- Jul 2nd 2012, 03:00 AMMikeNoobIncremental increase in ratios.Quote:

The salaries of Kate and John are in a ratio 2:3 . If the salary of each is increase by $4000 the new ratio becomes 40:57 .What is Johns salary ?Ans $38,000

- Jul 2nd 2012, 03:04 AMProve ItRe: Incremental increase in ratios.
Call j John's original salary and k Kate's original salary. It should be clear that it starts with k = (3/2)j.

Then when their salaries increase, you have j + 4000 for John's new salary, and k + 4000 for Kate's original salary. It should then be clear that k + 4000 = (57/40)(j + 4000).

Solve these two equations simultaneously. - Jul 2nd 2012, 03:09 AMbiffboyRe: Incremental increase in ratios.
- Jul 2nd 2012, 03:11 AMMikeNoobRe: Incremental increase in ratios.Quote:

It should then be clear that k + 4000 = (57/40)(j + 4000).

- Jul 2nd 2012, 05:26 AMHallsofIvyRe: Incremental increase in ratios.
I'm sure it was a typo. Clearly John's salary is greater than Kate's.

- Jul 2nd 2012, 05:34 AMMikeNoobRe: Incremental increase in ratios.