SOLUTION: Dwayne has a newspaper route for which he collects "k" dollars each day. From this amount he pays out "k/3" dollars per day for the cost of the papers, and he saves the rest of th

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Question 495140: Dwayne has a newspaper route for which he collects "k" dollars each day. From this amount he pays out "k/3" dollars per day for the cost of the papers, and he saves the rest of the money. In terms of "k", how many days will it take Dwayne to save $1000?
Thanks for your help!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Dwayne has a newspaper route for which he collects "k" dollars each day.
From this amount he pays out "k/3" dollars per day for the cost of the papers, and he saves the rest of the money.
:
We can say it cost him 1/3 of the money he takes in, therefore
%282k%29%2F3 = "the rest of the money"
:
In terms of "k", how many days will it take Dwayne to save $1000?
Let d = no. of days to accomplish this
d(k) = 1000%2F%28%282k%29%2F3%29
Invert the dividing fraction and multiply
d(k) = 1000 * 3%2F%282k%29
d(k) + 3000%2F%282k%29
Reduce fraction
d(k) + 1500%2Fk; days to save $1000