SOLUTION: Salaries of Sami and Harris are in the ration of 2:3 if the salary of each increased by 4000. The new ratio is 40:57. What is Harris salary?

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Question 883255: Salaries of Sami and Harris are in the ration of 2:3 if the salary of each increased by 4000. The new ratio is 40:57. What is Harris salary?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Salaries of Sami and Harris are in the ration of 2:3
if the salary of each increased by 4000. The new ratio is 40:57.
What is Harris salary?
:
Let h = H's salary
let s = S's salary
:
Write an equation for each statement; simplify as much as possible.
:
"Salaries of Sami and Harris are in the ration of 2:3"
h%2Fs = 2%2F3
cross multiply
2s = 3h
s = 3%2F2h
s = 1.5 h
:
"if the salary of each increased by 4000. The new ratio is 40:57."
%28%28h%2B4000%29%29%2F%28%28s%2B4000%29%29 = 40%2F57
cross multiply
57(h+4000) = 40(s+4000)
57h + 228000 = 40s + 160000
57h = 40s + 160000 - 228000
57h = 40s - 68000
replace s with 1.5h
57h = 40(1.5h) - 68000
57h - 60h = -68000
-3h = -68000
h = -68000/-3
h = $22666.67 is H's salary
:
:
you can check this for yourself. Find S's salary, add 4000 to both and see if the ratio equals 40/57




Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Salaries of Sami and Harris are in the ration of 2:3 if the salary of each increased by 4000. The new ratio is 40:57. What is Harris salary?


Harris' original salary: $highlight_green%28highlight_green%2834000%29%29

You can do the check!! 



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