SOLUTION: An apartment building contains 200 apartments. Some apartments have only one bedroom and rent for $435 per month. The rest have two bedrooms and rent for $575 per month. When all t
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: An apartment building contains 200 apartments. Some apartments have only one bedroom and rent for $435 per month. The rest have two bedrooms and rent for $575 per month. When all t
Log On
Question 230561: An apartment building contains 200 apartments. Some apartments have only one bedroom and rent for $435 per month. The rest have two bedrooms and rent for $575 per month. When all the units are rented, the total monthly income is $97,500. How many two-bedroom apartments are there? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! An apartment building contains 200 apartments. Some apartments have only one bedroom and rent for $435 per month. The rest have two bedrooms and rent for $575 per month. When all the units are rented, the total monthly income is $97,500. How many two-bedroom apartments are there?
Step 1. Let x be the number of one-bedroom apartments
Step 2. Let 200-x be the number of two-bedroom apartment since there are a total of 200 apartments.
Step 3. Let 435x be the monthly dollar value of one-bedroom apartments.
Step 4. Let 575(200-x) be the monthly dollar value of two-bedroom apartments.
Step 5. Then, be the total monthly dollar value.
Step 6. Solving yields the following steps
Add 140x to both sides of the equation
Subtract 97500 from both sides of the equation
Divide 140 to both sides of the equation
and
Check total monthly value: which is a true statement.
Step 7. ANSWER: The number of two-bedroom apartments is 75.
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
