So I have a very simple problem, but I am unable to find a proper solution top it.
Four friends rented and apartment for 1 year. They paid \$590 of deposit each (\$2360 total).
By the end of the year, they received \$1470 back from their landlord because there were some unexpected bills. They calculated that each one was responsible for 44%, 34%, 15% and 7% of that extra charge (imagine the difference is in extra energy consumption or damages for example).
If they were to divide the deposit in 4 equal parts, they each would get \$367,5 (\$1470/4), but that is not fair as one of them only overspent 7% .
What would be the fair value each one should receive?
(I'm sorry for the probably wrong tags, I didn't know which to pick)
Thanks
The overage is $\$890$ ($2360-1470=890$).
Suppose I am responsible for $44\%$ of the overage. That makes $0.44\times\$890=\$391.60.$ Then, I should get back $\$198.40$ (my $\$590$ deposit less the overage for which I am responsible).
Use this method to calculate the rest.