SOLUTION: Some people in an office were going to buy a $140 retirement gift for another employee. When 3 more people decided to chip in, the amount each person had to contribute went down by

Algebra ->  Finance -> SOLUTION: Some people in an office were going to buy a $140 retirement gift for another employee. When 3 more people decided to chip in, the amount each person had to contribute went down by      Log On


   



Question 1154307: Some people in an office were going to buy a $140 retirement gift for another employee. When 3 more people decided to chip in, the amount each person had to contribute went down by $6. How many people were originally in on the gift?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Price, how many dollars each person contributes
Quantiy, number of people contributing
Cost, the $140

                       PRICE          PEOPLE      COST

Original people         140/n           n          140


Three more people       140/(n+3)      n+3         140


Difference                6

highlight_green%28140%2Fn-140%2F%28n%2B3%29=6%29
Solve for n.

Algebra steps to simplify give:
n%5E2%2B3n-70=0
Factorable to
%28n%2B10%29%28n-7%29=0

highlight%28n=7%29