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Two friends rent an apartment for $975/month. Each person's rent contribution is based on bedroom size. One bedroom is 60 square feet larger than the other. Each person pays $3.25/square foot. Let x be the area of the smaller bedroom and y be the area of the larger bedroom. Find the size of each bedroom and the rent contribution each person makes per month.

 Jul 28, 2015

Best Answer 

 #1
avatar+128079 
+8

We don't really need to use two variables here...let x be the smaller bedroom and  (x + 60) be the larger....so we have...

 

3.25x + 3.25(x + 60 ) = 975    simplify

 

3.25x + 3.25x + 195 = 975    combine like terms

 

6.50x + 195 = 975      subtract 195 from both sides

 

6.50x  = 780      divide both sides by 6.50

 

x = 780 / 6.50 =  120 sq ft is the smaller bedroom...  and this person contributes (120)(3.25) = $390 to the rent

 

x + 60 = 120 + 60 = 180   sq ft is the larger bedroom  and this person contributes $(975 - 390)  = $585 to the rent

 

 

  

 Jul 28, 2015
 #1
avatar+128079 
+8
Best Answer

We don't really need to use two variables here...let x be the smaller bedroom and  (x + 60) be the larger....so we have...

 

3.25x + 3.25(x + 60 ) = 975    simplify

 

3.25x + 3.25x + 195 = 975    combine like terms

 

6.50x + 195 = 975      subtract 195 from both sides

 

6.50x  = 780      divide both sides by 6.50

 

x = 780 / 6.50 =  120 sq ft is the smaller bedroom...  and this person contributes (120)(3.25) = $390 to the rent

 

x + 60 = 120 + 60 = 180   sq ft is the larger bedroom  and this person contributes $(975 - 390)  = $585 to the rent

 

 

  

CPhill Jul 28, 2015

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