Question 1154307
Price, how many dollars each person contributes
Quantiy, number of people contributing
Cost, the $140


<pre>
                       PRICE          PEOPLE      COST

Original people         140/n           n          140


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


Difference                6
</pre>
{{{highlight_green(140/n-140/(n+3)=6)}}}
Solve for n.


Algebra steps to simplify give:
{{{n^2+3n-70=0}}}
Factorable to
{{{(n+10)(n-7)=0}}}


{{{highlight(n=7)}}}