document.write( "Question 806043: Bill and a group of friends decided to rent a house in Aspen Colorado for a week of skiing. 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? \n" ); document.write( "

Algebra.Com's Answer #485643 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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They each had to chip in $90 for the week lodging.
\n" ); document.write( " If they had been able to convince three more people to go, the cost per person would have been reduced by $15.
\n" ); document.write( " What was the rent for the house for the week?
\n" ); document.write( ":
\n" ); document.write( "let r = total rent for the house for the week
\n" ); document.write( "then
\n" ); document.write( " $\"r%2F90\"$ = actual amt paid be each person
\n" ); document.write( "and cost with additional people 90-15 = 75
\n" ); document.write( " $\"r%2F75\"$ = amt if 3 more people join them
\n" ); document.write( ":
\n" ); document.write( " $\"r%2F90\"$ + 3 = $\"r%2F75\"$
\n" ); document.write( "multiply by 450 to clear the denominators
\n" ); document.write( "450* $\"r%2F90\"$ + 3(450) = 450* $\"r%2F75\"$
\n" ); document.write( "cancel
\n" ); document.write( "5r + 1350 = 6r
\n" ); document.write( "1350 = 6r - 5r
\n" ); document.write( "r = $1350 is the weekly rent
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works, find the number of people
\n" ); document.write( "1350/90 = 15 people
\n" ); document.write( "1350/75 = 18 people, 3 more
\n" ); document.write( " \n" ); document.write( "

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