<PRE><B>Question 806043</B>
They each had to chip in $90 for the week lodging.
 If they had been able to convince three more people to go, the cost per person would have been reduced by $15.
 What was the rent for the house for the week?
:
let r = total rent for the house for the week
then
{{{r/90}}} = actual amt paid be each person
and cost with additional people 90-15 = 75
{{{r/75}}} = amt if 3 more people join them
:
{{{r/90}}} + 3 = {{{r/75}}}
multiply by 450 to clear the denominators
450*{{{r/90}}} + 3(450) = 450*{{{r/75}}}
cancel
5r + 1350 = 6r
1350 = 6r - 5r
r = $1350 is the weekly rent
:
:
See if that works, find the number of people
1350/90 = 15 people
1350/75 = 18 people, 3 more
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