<PRE><B>Question 1189749</B>
Bill has 120 dollars more than James.
let j = amt of money James has
then
(j+120) = amt that Bill has
:
 Each week bill spends 25 dollars and James spends 22 dollars.
 They use up their money at the same time.
 How many weeks did it take bill to spend all his money.
let w = no. of weeks to spend it all
:
Write an equation for each
Bill:
(j+120) - 25w = 0
Rearrange to
j - 25w = -120 
James
j - 22w = 0
Use elimination on these two equation
j - 25w = -120
j - 22w = 0
--------------------Subtraction eliminates j, find w
0 - 3w = -120
w = -120/-3
w = 40 weeks both spend it all
:
:
To confirm this, find the actual amt each had.
j - 22(40) = 0
j - 880 = 0
j = $880 James had, and Bill had 120 more or $1000
880 - 40(22) = 0
1000 - 40(25) = 0</PRE>