SOLUTION: Faith normally saves $2.50 a week. She decides to save up for a new bike and increases her savings such that she now puts a total of $4.50 a week aside. The bike costs $300. H

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Faith normally saves $2.50 a week. She decides to save up for a new bike and increases her savings such that she now puts a total of $4.50 a week aside. The bike costs $300. H      Log On


   



Question 1040177: Faith normally saves $2.50 a week. She decides to save up
for a new bike and increases her savings such that she now
puts a total of $4.50 a week aside. The bike costs $300.
How much sooner (to the nearest week) will Faith be able
to purchase her bike assuming she begins with no savings?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of weeks to save
$300 at $2.50/wk
Let +b+ = number of weeks to save
$300 at $4.50/wk
----------------------------------
(1) +2.5a+=+300+
(1) +a+=+120+
and
(2) +4.5b+=+300+
(2) +b+=+66.67+
--------------------
+120+-+66.67+=+53.33+
She will be able to buy the bike 53 weeks sooner