SOLUTION: Nancy started the year with $425 in the bank and is saving $25 a week. Seamus started with $875 and is spending $15 a week. When will they have both have the same amount of money i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Nancy started the year with $425 in the bank and is saving $25 a week. Seamus started with $875 and is spending $15 a week. When will they have both have the same amount of money i      Log On


   

Question 827965: Nancy started the year with $425 in the bank and is saving $25 a week. Seamus started with $875 and is spending $15 a week. When will they have both have the same amount of money in the bank? (Also please define variables with "Let" statements)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the week number starting with 0
when they both start the year
Let +A+ = the amount in the bank
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For Nancy:
+A+=+425+%2B+25n+
For Seamus:
+A+=+875+-+15n+
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Find the week number when their amounts are equal
+425+%2B+25n+=+875+-+15n+
+40n+=+875+-+425+
+40n+=+450+
+n+=+11.25+
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They will both have the same amount 1/4 of the
way into the 12th week