SOLUTION: ratio math1 year ago the ratio between A’s and B’s salary was 3:4, Ratios of their individual salaries between last year’s and this year’s salaries are 4:5 & 2:3 respectively. At p

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: ratio math1 year ago the ratio between A’s and B’s salary was 3:4, Ratios of their individual salaries between last year’s and this year’s salaries are 4:5 & 2:3 respectively. At p      Log On


   

Question 935761: ratio math1 year ago the ratio between A’s and B’s salary was 3:4, Ratios of their individual salaries between last year’s and this year’s salaries are 4:5 & 2:3 respectively. At present the total of their salary is Tk. 4160. How much is the salary of A now ?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Last year's salaries are in 3+4=7 parts.
If x is a factor for those salaries, then x%283%2F7%29 for A and x%284%2F7%29 for B.

This year, %285%2F4%29%2Ax%283%2F7%29 for A and %283%2F2%29%2Ax%284%2F7%29+for B.
Remember, x was assigned as a variable, a factor, and NOT as an operation symbol.

Total salaries of A and B combined for "this year" is Tk. 4160.
highlight%28%285%2F4%29%283%2F7%29x%2B%283%2F2%29%284%2F7%29x=4160%29
Solve for x, and then you can evaluate any or all of this year and last year salaries
of A and B.


Hard to explain how each part was decided. Developing that equation is done through thinking carefully
about the different ratios used in this description. The discussion just given might seem neat
but getting that equation took some careful thinking.