SOLUTION: Sam has $100 and Jack has $180 in each of their bank accounts. Sam deposits $20 each week and Jack deposits $10 each week. In how many weeks will they each have the same amount of

Algebra ->  Finance -> SOLUTION: Sam has $100 and Jack has $180 in each of their bank accounts. Sam deposits $20 each week and Jack deposits $10 each week. In how many weeks will they each have the same amount of       Log On


   



Question 917520: Sam has $100 and Jack has $180 in each of their bank accounts. Sam deposits $20 each week and Jack deposits $10 each week. In how many weeks will they each have the same amount of money?
I didI understand that the problem is asking me to find that the value for x will be the amount of weeks it takes until they have the same amount of money, I just don't understand how to solve it.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The amount that each one has at any tine
is a linear ( straight line ) relation.
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Let +y+ = total that each one has at any time
Let +x+ = number of weeks after they each started
adding money to their initial deposits
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Sam's equation:
+y+=+20x+%2B+100+
Jack's equation:
+y+=+10x+%2B+180+
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Just set the y's equal to each other
+20x+%2B+100+=+10x+%2B+180+
+10x+=+80+
+x+=+8+
In 8 weeks they will have the
same amount of money:
----------------------
Here are the plots of their equations:
+graph%28+400%2C+400%2C+-1%2C+10%2C+-30%2C+300%2C+20x+%2B+100%2C+10x+%2B+180+%29+