SOLUTION: Kenji and Isaac each opened a savings account on the same day. Kenji started by putting $108 in his account, and he will deposit an additional $214 each week. Isaac made an initial

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Kenji and Isaac each opened a savings account on the same day. Kenji started by putting $108 in his account, and he will deposit an additional $214 each week. Isaac made an initial      Log On

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Question 1074836: Kenji and Isaac each opened a savings account on the same day. Kenji started by putting $108 in his account, and he will deposit an additional $214 each week. Isaac made an initial deposit of $113, and he will add $209 more each week. Eventually, Kenji and Isaac will each have the same amount saved. What is that amount? How many weeks will that take?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +y+ = amount saved
Let +x+ = number of weeks money is saved
-------------------------------------------
Equation for Kenji:
(1) +y+=+214x+%2B+108+
Equatiion for Issac:
(2) +y+=+209x+%2B+113+
------------------------
To find the intersection of
these two lines, set (2) equal
to (1)
+209x+%2B+113+=+214x+%2B+108+
+5x+=+5+
+x+=+1+
In 1 week, they will have saved the same amount
------------------------
check answer:
(1) +y+=+214x+%2B+108+
(1) +y+=+214%2A1+%2B+108+
(1) +y+=+322+
and
(2) +y+=+209x+%2B+113+
(2) +y+=+209%2A1+%2B+113+
(2) +y+=+322+
OK
check the math