SOLUTION: I have an algebra word problem and I need help with it. I tried but I couldn't get the right answer. The answer is supposed to be: $[(n^2+38n-80)/n]. The question is: "Ted bought "

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have an algebra word problem and I need help with it. I tried but I couldn't get the right answer. The answer is supposed to be: $[(n^2+38n-80)/n]. The question is: "Ted bought "      Log On


   

Question 87330This question is from textbook Algebra: Structure and Method Book 1
: I have an algebra word problem and I need help with it. I tried but I couldn't get the right answer. The answer is supposed to be: $[(n^2+38n-80)/n]. The question is: "Ted bought "n" rolls of film for a total of $40. He then sold all but 2 of them for $1 more per roll than he paid. How much did he receive for he rolls of film that he sold?" The lesson involves mixed expressions and you have to rewrite fractions using the LCD. Thanks. This question is from textbook Algebra: Structure and Method Book 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ted paid 40%2Fn dollars for each roll
One dollar more than what he paid is 40%2Fn+%2B+1 dollars
If he sold all but 2 rolls, then he sold n+-+2 rolls
The amount of money he got from selling the n+-+2 rolls
is %2840%2Fn+%2B+1%29%28n+-+2%29
multiplying this out,
40+%2B+n+-+80%2Fn+-+2
n+%2B+38+-+80%2Fn
multiply the first 2 terms by n%2Fn which is 1
n%5E2%2Fn+%2B+38n%2Fn+-+80%2Fn
Now factor
%281%2Fn%29%28n%5E2+%2B+38n+-+80%29 answer