SOLUTION: 2. Two brothers, A and B have their annual income in ratio of 8:5 while their annual spending is in the ratio of 5:3 .lf they save 1,200 cedis and 1000 cedis respectively. Find th

Algebra ->  Proportions -> SOLUTION: 2. Two brothers, A and B have their annual income in ratio of 8:5 while their annual spending is in the ratio of 5:3 .lf they save 1,200 cedis and 1000 cedis respectively. Find th      Log On


   

Question 1095517: 2. Two brothers, A and B have their annual income in ratio of 8:5 while their annual spending is in the ratio of 5:3 .lf they save 1,200 cedis and 1000 cedis respectively. Find their annual income
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two brothers, A and B have their annual income in ratio of 8:5 while their annual spending is in the ratio of 5:3 .
lf they save 1,200 cedis and 1000 cedis respectively.
Find their annual income
:
let x = the 1st multiplier
then
8x = A's income
and
5x = B's income
:
let y = the 2nd multiplier
then
5y = A's expenditures
and
3y = B's
:
write an equation for each
8x - 5y = 1200
5x - 3y = 1000
multiply the 1st equation by 3, multiply the 2nd equation by 5
rearrange to
25x - 15y = 5000
24x - 15y = 3600
-----------------subtraction eliminates y, find x
x = 1400 is the 1st multiplier
therefore
8*1400 = $11200 is A's income
and
5*1400 = $7000 is B's income