SOLUTION: Equation,Inequalities, and mathematical modeling Renting an Apartment: Three students are planning to rent an apartment for a year and share equally in the cost. By adding a f

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Question 211475This question is from textbook College Algebra
: Equation,Inequalities, and mathematical modeling

Renting an Apartment: Three students are planning to rent an apartment for a year and share equally in the cost. By adding a fourth person, each person could save $75 a month. How much is the monthly rent? This question is from textbook College Algebra

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Renting an Apartment: Three students are planning to rent an apartment for a year and share equally in the cost. By adding a fourth person, each person could save $75 a month. How much is the monthly rent?
.
Let x=rent per student if 3 room mates
then
12(3x) = "total rent for 3 room mates (in a year)"
.
If four students rent
12(4(x-75)) = "total rent for 4 room mates"
.
set them equal and solve for x:
12(3x) = 12(4(x-75))
3x = 4(x-75)
3x = 4x-300
300+3x = 4x
$300 per month = x
.
So, that's $300 per month for each room mate (if there are only 3 of them)
.
Monthly rent = 3(300) = $900 per month


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