SOLUTION: One year ago ,the ratio of between A'and B's salary was 3:4 . the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively. Now, the total of their
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Question 1039448: One year ago ,the ratio of between A'and B's salary was 3:4 . the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively. Now, the total of their salary is 16640 . A's present salary is???
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
One year ago it was 3:4.
Last year it was 4:5.
Which is it?
Your setup is confusing.
Please repost.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One year ago ,the ratio of between A'and B's salary was 3:4 . the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively. Now, the total of their salary is 16640 . A's present salary is???
:
" One year ago ,the ratio of between A'and B's salary was 3:4 .
let x = multiplier for salaries one year ago
then
3x = A's salary one year ago
4x = B's salary one year ago
:
" the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively
let y = the multiplier for A's salaries last year to this year
4y = A's salary one year ago
5y = A's salary now
let z = the multiplier for B's salaries last year to this year
2z = B's salary one year ago
3z = B's salary now
:
We know that
4y = 3x (A's last year salary)
y = .75x
and
2z = 4x (B's last year salary)
z = 2x
:
Now, the total of their salary is 16640 . A's present salary is???
5y + 3z = 16640
Replace y with .75x; replace z with 2x
5(.75x) + 3(2x) = 16640
3.75x + 6x = 16640
9.75x = 16640
x = 16640/9.75
x = 1706.667 is the multiplier
Then
3.75(1706.667) = $6400 is A's present salary
6(1706.667) = $10240 is B's present salary
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