In order to find the amount of money Albert had on his paycheck, you must express this value in terms of the amount of money Richard has on his paycheck.
The problem tells you that Richard had
...twice the difference of Albert's paycheck dollars and
Let's break this information down to see if we can find a relationship between the value of the two paychecks.
...twice the difference...
means that you must double the value of a difference, i.e. multiply the difference by
the difference of Albert's paycheck dollars and
So if we take
#A - $9 " "->#we've subtracted #$9#from the value fo Albert's paycheck
We now have to double this difference in order to find the value of Richard's paycheck, let's say
#color(red)(ul(color(black)(R = color(blue)(2) * (A - $9))))#
And that is the equation that we're looking for. We now have a way of expressing the value of Albert's paycheck in terms of the value of Richard's paycheck.
Rearrange the equation to solve for
#R/2 = color(red)(cancel(color(black)(2)))/color(red)(cancel(color(black)(2))) xx (A - 9)#
#R/2 = A - 9#
#R/2 + 9 = A - color(red)(cancel(color(black)(9))) + color(red)(cancel(color(black)(9)))#
This is equivalent to
#A = R/2 + $9#
We know that Richard had
#A = ($50)/2 + $9#
#color(darkgreen)(ul(color(black)(A = $25 + $9 = $34)))#
Therefore, you can say that Albert had