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Staying at a hotel for 5 nights. $135 per night plus a $55 cleaning fee and $81 service fee with a total $811. 5 people going. The first night only 2 people will be staying. The last 4 nights will be all 5 people. How do you split the total cost?

 Apr 30, 2015

Best Answer 

 #1
avatar+130516 
+5

Well...the first night, the two people will split the $135 room fee.....and they will split the cost of (1/5) of the $81 service fee and the $55 cleaning fee.

So each will pay  (1/2)(135) + (1/5)(81 + 55)  = $94.70

So ...2(94.70)  = $189.40  total paid so far

 

This leaves  $[811 - 189.40] = $621.60  to be shared by 5 people for the other 4 nights.

So.....each will pay  621.60/ 5 = $124.32

 

So the first two people pay $[94.70 + 124.32] apiece  = $219.02

And the rest pay $124.32 apiece

Check  .... 2(219.02) + 3(124.32)   = $811

 

 

  

 Apr 30, 2015
 #1
avatar+130516 
+5
Best Answer

Well...the first night, the two people will split the $135 room fee.....and they will split the cost of (1/5) of the $81 service fee and the $55 cleaning fee.

So each will pay  (1/2)(135) + (1/5)(81 + 55)  = $94.70

So ...2(94.70)  = $189.40  total paid so far

 

This leaves  $[811 - 189.40] = $621.60  to be shared by 5 people for the other 4 nights.

So.....each will pay  621.60/ 5 = $124.32

 

So the first two people pay $[94.70 + 124.32] apiece  = $219.02

And the rest pay $124.32 apiece

Check  .... 2(219.02) + 3(124.32)   = $811

 

 

  

CPhill Apr 30, 2015

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