# Incremental increase in ratios.

• Jul 2nd 2012, 03:00 AM
MikeNoob
Incremental 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
Suggestions on solving this ?
• Jul 2nd 2012, 03:04 AM
Prove It
Re: Incremental increase in ratios.
Quote:

Originally Posted by MikeNoob
Suggestions on solving this ?

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 AM
biffboy
Re: Incremental increase in ratios.
Quote:

Originally Posted by MikeNoob
Suggestions on solving this ?

Let present salaries be x and y x/y=2/3
(x+4000)/(y+4000)=40/57
57(x+4000)=40(y+4000)
Simplify this and sub in x=(2/3)*y
• Jul 2nd 2012, 03:11 AM
MikeNoob
Re: Incremental increase in ratios.
Quote:

It should then be clear that k + 4000 = (57/40)(j + 4000).
Isn't it suppose to be (40/57) since thats the new ratio ? How did you get 57/40 ?
• Jul 2nd 2012, 05:26 AM
HallsofIvy
Re: 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 AM
MikeNoob
Re: Incremental increase in ratios.
Quote:

Originally Posted by biffboy
Let present salaries be x and y x/y=2/3
(x+4000)/(y+4000)=40/57
57(x+4000)=40(y+4000)
Simplify this and sub in x=(2/3)*y

You mean let old salaries be x and Y