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?
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
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