SOLUTION: Anisa has $35.50 and is saving $4.25/week. Nadia has $24.25 and is saving $5.50/week. In how many weeks from now will they have the same amount of money?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Anisa has $35.50 and is saving $4.25/week. Nadia has $24.25 and is saving $5.50/week. In how many weeks from now will they have the same amount of money?      Log On

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Question 1046204: Anisa has $35.50 and is saving $4.25/week. Nadia has $24.25 and is saving $5.50/week. In how many weeks from now will they have the same amount of money?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of weeks they are saving
Let +A+ = amount saved
Anisa's equation:
+A+=+35.5+%2B+4.25n+
Nadia's equation:
+A+=+24.25+%2B+5.5n+
----------------------
Set amounts saved equal to eachother
+35.5+%2B+4.25n+=+24.25+%2B+5.5n+
+1.25n+=+11.25+
+n+=+9+
In 9 weeks they will have the same amount
-------------------
check:
+A+=+35.5+%2B+4.25%2A9+
+A+=+35.5+%2B+38.25+
+A+=+73.75+
and
+A+=+24.25+%2B+5.5%2A9+
+A+=+24.25+%2B+49.5+
+A+=+73.75+
OK