To ship a package, UPS charges $4 for the first pound and $0.50 for each additional pound. FedEx charges $6 for the first pound and $0.40 for each additional pound. How many pounds will it take for UPS and FedEx to charge the same?
Let's represent UPS's cost as U and FedEx's cost as F.
For UPS:
U = $4 + $0.50x
For FedEx:
F = $6 + $0.40x
To find when UPS and FedEx will charge the same amount, we need to set the two equations equal to each other and solve for x:
$4 + $0.50x = $6 + $0.40x
$0.10x = $2
x = 20
It will take 20 additional pounds for UPS and FedEx to charge the same amount.