SOLUTION: 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 thr
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? Found 3 solutions by ankor@dixie-net.com, mananth, josgarithmetic:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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 = actual amt paid be each person
and cost with additional people 90-15 = 75 = amt if 3 more people join them
: + 3 =
multiply by 450 to clear the denominators
450* + 3(450) = 450*
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
You can put this solution on YOUR website! let the number of friends be x
rent for week = 90x
If 7 join
they total x+7
each has to pay
90x/(x+7) = 75
90x=75(x+7)
90x=75x+525
15x= 525
/15
x=35
Rent = 35*90= 3150
You can put this solution on YOUR website! Let j = the group of friends, as a whole number for the $90/week from each person. The rent for the house is , units of dollars per week per person.
THREE MORE PEOPLE?
(j+3) group of friends, expecting then $(90-15) per person for the rental.
The house rent would be the same, but 75*(j+3) is now the rent expression for this increased quantity of friends. Again, the house rent rate itself IS STILL THE SAME.
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