SOLUTION: Two airline passengers have baggage totaling 190lbs. A passenger is charged a fixed number of dollars per pound if his or her baggage weight is over a certain maximum value. One pa

Question 1014295: Two airline passengers have baggage totaling 190lbs. A passenger is charged a fixed number of dollars per pound if his or her baggage weight is over a certain maximum value. One passenger is charged $8. The other passenger is charged $2. If all the baggage belonged to one passenger, that person would have been charged $24. Find the charge per pound for extra weight and the maximum weight allowed per person without penalty.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of extra weight for
passenger paying $8
Let = pounds of extra weight for
passenger paying $2
Let = pounds of extra weight for
passenger paying $24
---------------------------------
= cost/pound of extra weight
= cost/pound of extra weight
= cost/pound of extra weight
----------------------------------
(1) ( I plugged in real numbers and came up with this )
(2)
(3)
---------------
This is 3 equations and 3 unknowns, so it's solvable
----------------
(1)
(1)
------------------------
(2)
(2)
and
(3)
(3)
-----------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
and
(3)
(3)
-----------------
= cost/pound of extra weight
= cost/pound of extra weight
= cost/pound of extra weight

$.20 = cost/pound of extra weight
-------------------------------

Maximum weight allowed without penalty:
70 pounds
----------------
check:

and

OK
You might want another opinion on this
-I'm not 100% sure
-hope I got it!
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