Question 1095517
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